Publications 

Papers Published in Referred Journals: 

Total Number of Publications: 240 (Cumulative Impact Factor: 580.2)

1) Sumati Kumari Panda, V. VIJAYAKUMAR and Ravi P Agarwal, On the Uniform Stability of Fractional-Order Neural Networks and Solutions to Nonlinear Mixed Integral Equations via Nonlinear ϝ-contractions, Complex Analysis and Operator Theory, (2025), 1-23.

2) K. Jothimani, N. Valliammal and V. VIJAYAKUMAR, A class of nonlinear Hilfer fractional differential control system with distributed  delay and damping, Complex Analysis and Operator Theory, (2025), 1-20.

3) Yong-Ki Ma, K. Jothimani, N. Valliammal and V. VIJAYAKUMAR, Fractional neutral pantograph systems with non-singular kernels: Analysis and numerical approximation, Complex Analysis and Operator Theory, (2025), 1-18.

4) M. Johnson, V. VIJAYAKUMAR and Kiwoon Kwon, Existence outcomes and optimal control of non-autonomous second order integrodifferential system with impulsive effects via resolvent operator in Banach spaces, Journal of Applied Mathematics and Computing, (2025), 1-22.

5) R. Sasikumar and V. VIJAYAKUMAR, A class of second-order damped neutral stochastic differential control systems with state-dependent delay and impulses, Complex Analysis and Operator Theory, (2025), 1-22.

6) M. Mohan Raja, V. VIJAYAKUMAR, Chun-Wei Tsai and Kalyan C. Veluvolu, Optimal control strategies and continuous dependence for stochastic Hilfer fractional systems with delay: A Volterra-Fredholm integro-differential approach, Optimal Control, Applications and Methods, (2025), 1-23.

7) Kanika Dhawan, Shivam Kumar, Ramesh Kumar Vats and V. VIJAYAKUMAR, Analysis of ψ-Hilfer fractional integro-differential equations with integral boundary conditions Complex Analysis and Operator Theory, (2025), 1-30.

8) R. Sasikumar and V. VIJAYAKUMAR, An analysis on the approximate controllability of second-order damped stochastic differential inclusions with state-dependent delay, Complex Analysis and Operator Theory, (2025), 1-22.

9) A. Dhanush and V. VIJAYAKUMAR, An analysis on the time optimal control results for Hilfer fractional hemivariational inequalities, Complex Analysis and Operator Theory, (2025), 1-20.

10) A. Priyadharsini and V. VIJAYAKUMAR, An investigation on the approximate controllability of non-densely defined Hilfer fractional stochastic differential inclusions in Hilbert spaces, Complex Analysis and Operator Theory, (2025), 1-23.

11) M. Johnson, V. VIJAYAKUMAR and Kiwoon Kwon, A note on the existence and optimal control of Atangana-Baleanu fractional stochastic integrodifferential system with non-instantaneous impulses, Optimal Control, Applications and Methods, (2025), 1-23.

12) A. Priyadharsini and V. VIJAYAKUMAR, Solvability results for Hilfer fractional stochastic mixed Volterra-Fredholm integro-differential inclusions with non-dense domain, Complex Analysis and Operator Theory, (2025), 1-25.

13) R. S. Shanmugapriya and V. VIJAYAKUMAR, New results on the optimal feedback control for second-order neutral evolution systems with hemivariational inequalities and damping, Complex Analysis and Operator Theory, (2025), 1-25.

14) J. Pradeesh and V. VIJAYAKUMAR, Results concerning to existence and controllability of Hilfer fractional stochastic integrodifferential evolution hemivariational inequalities of order 1 < µ < 2 with mixed fBm, Complex Analysis and Operator Theory, (2025), 1-28.

15) J. Pradeesh and V. VIJAYAKUMAR, Solvability results for higher-order Hilfer fractional stochastic integrodifferential systems with Poisson random measure, Complex Analysis and Operator Theory, (2025), 1-24.

16) A. Dhanush and V. VIJAYAKUMAR, Discussion on the approximate controllability results for neutral fractional differential systems with state-dependent delay, Asian Journal of Control, (2025), 1-10.

17) A. Dhanush and V. VIJAYAKUMAR, Time optimal control results for Hilfer fractional neutral stochastic differential equations, Complex Analysis and Operator Theory, (2025), 1-20.

18) Ajay Kumar, Rohit Patel, V. VIJAYAKUMAR and Anurag Shukla, Extremal solution of nonlinear fractional order integro-differential systems with time-varying delays in Banach space, Journal of Nonlinear, Complex and Data Science, (2025), 1-19.

19) S. Vivek and V. VIJAYAKUMAR, A note on approximate controllability results for history-dependent fractional stochastic hemivariational inequalities, Complex Analysis and Operator Theory, (2025), 1-20.

20) R. Sasikumar and V. VIJAYAKUMAR, An analysis of the existence and optimal control results for higher order Caputo fractional dynamical systems with damping, Asian Journal control, (2025), 1-10.

21) A. Priyadharsini and V. VIJAYAKUMAR, Approximate controllability results for Hilfer fractional neutral stochastic differential equations with finite delay and non-dense domain, Asian Journal control, (2025), 1-10.

22) A. Dhanush and V. VIJAYAKUMAR, New results concerning to optimal feedback control for Sobolev-type fractional integrodifferential systems of order 1 < µ < 2, Journal of Applied Mathematics and Computing, (2025), 1-23.

23) A. Priyadharsini and V. VIJAYAKUMAR, Discussion on the existence and controllability of Hilfer fractional stochastic differential equation with non-dense domain, Journal of Applied Mathematics and Computing, (2025), 1-23.

24) Urvashi Arora, Sachin Singh, V. VIJAYAKUMAR and Anurag Shukla, Trajectory controllability of integro-differential system of fractional orders in Hilbert spaces, An International Journal of Optimization and Control: Theories & Applications, (2025), 1-10.

25) Sumati Kumari Panda, V. VIJAYAKUMAR and Ravi P Agarwal, Fixed point results of b-graphical suprametric space and applications to fractional order neural networks and control systems, Journal of Nonlinear and Convex Analysis, (2025), 1-22.

26) Sumati Kumari Panda, V. VIJAYAKUMAR, Ravi P Agarwal and Tahair Rasham, Fractional-order complex-valued neural networks: Stability results, numerical simulations and application to game-theoretical decision making, Discrete and Continuous Dynamical Systems - Series S, (2025), 1-22.

27) M. Johnson, V. VIJAYAKUMAR and Kiwoon Kwon, Investigation of optimal control results for generalized Riemann-Liouville fractional integrodifferential systems of Volterra-Fredholm type with nonlocal initial conditions, International Journal of Dynamics and Control, 13 (217) (2025), 1-13.

28) R. S. Shanmugapriya and V. VIJAYAKUMAR, Results on the optimal feedback control for second-order non-autonomous evolution equations with damping, Journal of Control and Decision, (2025), 1-15.

29) S. Vivek, Anurag Shukla, Sumati Kumari Panda, V. VIJAYAKUMAR and T. Radhika, Neutral stochastic hemivariational inequalities with impulses: Existence and approximate controllability, Stochastics, (2025), 1-19.

30) A. Dhanush and V. VIJAYAKUMAR, Results on the existence and time optimal control results for Hilfer fractional stochastic differential inclusions in Hilbert spaces, Journal of Applied Mathematics and Computing, 71 (2025), 3997-4023.

31) M. Johnson and V. VIJAYAKUMAR, Discussion on the optimal controls results for fractional systems with Atangana-Baleanu derivative, Mathematical Methods in the Applied Sciences, (2025), 1-23.

32) J. Pradeesh, Sumati Kumari Panda, V. VIJAYAKUMAR, K. Jothimani and N. Valliammal, New discussion on the approximate controllability of Sobolev-type Hilfer fractional stochastic mixed Volterra-Fredhlom integrodifferential inclusions of order 1 < µ < 2, Stochastic Analysis and Analysis, (2025), 1-27.

33) M. Mohan Raja and V. VIJAYAKUMAR  and Kalyan C. Veluvolu, Higher-order Caputo fractional integrodifferential inclusions of Volterra-Fredholm type with impulses and infinite delay: Existence results, Journal of Applied Mathematics and Computing, (2025), 1-25.

34) S. Vivek, Sumati Kumari Panda and V. VIJAYAKUMAR, Optimal feedback control results for Hilfer fractional neutral dynamical systems with history-dependent operators, Journal of Optimization Theory and Applications, (2025), 1-23.

35) A. Dhanush and V. VIJAYAKUMAR, A discussion on the time optimal control results for a class of Hilfer fractional neutral dynamical systems, Journal of Applied Mathematics and Computing, 71 (2025), 2985-3008.

36) S. Vivek, Sumati Kumari Panda, V. VIJAYAKUMAR, T. Radhika and A. Chandrasekar, On the approximate controllability for neutral fractional stochastic differential hemivariational inequalities with history-dependent operator, Journal of Differential Equations, (2025), 1-23.

37) M. Johnson, V. VIJAYAKUMAR and Kiwoon Kwon, Results concerning the optimal control for second-order Sobolev-type stochastic integrodifferential equations with impulses and nonlocal conditions, Journal of Applied Mathematics and Computing, (2025), 1-22.

38) M. Johnson, V. VIJAYAKUMAR and Kiwoon Kwon, Existence and optimal controls for generalized Riemann-Liouville fractional Sobolev-type stochastic integrodifferential equations of order ϑ ∈ (1, 2), Mathematical Methods in the Applied Sciences, (2025), 1-25.

39) J. Pradeesh, Sumati Kumari Panda, V. VIJAYAKUMAR and Yong-Ki Ma, A note concerning the optimal control results for Hilfer fractional stochastic differential equations of order 1 < µ < 2, Journal of Applied Mathematics and Computing, (2025), 1-25.

40) J. Pradeesh, Sumati Kumari Panda, V. VIJAYAKUMAR, K. Jothimani and N. Valliammal, Solvability and controllability of Sobolev-type nonlocal Hilfer fractional stochastic evolution inclusions of order 1 < ψ < 2, International Journal of Dynamics and Control, 13 (26) (2025), 1-27.

41) J. Pradeesh, Sumati Kumari Panda and V. VIJAYAKUMAR, A new exploration on the approximate controllability results for Hilfer fractional differential inclusions of order 1 < µ < 2 with Clarke’s subdifferential type, Mathematical Methods in the Applied Sciences, 48 (2) (2025), 1831-1852.

42) A. Priyadharsini K. Jothimani and V. VIJAYAKUMAR, Existence and uniqueness of the solution for the Hilfer fuzzy fractional integrodifferential equation via resolvent operators, Qualitative Theory of Dynamical Systems, 24 (34) (2025), 1-24.

43) R. S. Shanmugapriya and V. VIJAYAKUMAR, Results concerning to the optimal feedback control for second-order damped evolution inclusions with Clarke’s subdifferential type, Qualitative Theory of Dynamical Systems, 24 (41) (2025), 1-24.

44) S. Vivek and V. VIJAYAKUMAR, An analysis on time optimal feedback control for Caputo fractional neutral systems with delay, Journal of Control and Decision, (2024), 1-18.

45) J. Pradeesh and V. VIJAYAKUMAR, Approximate controllability for Hilfer fractional stochastic differential systems of order 1 < µ < 2, Journal of Control and Decision, (2024), 1-18.

46) R. S. Shanmugapriya, W. Kavitha Williams, Sumati Kumari Panda, V. VIJAYAKUMAR and K. Thilagavathi, Approximate controllability results for second-order nonlocal neutral impulsive differential inclusions with damping, Journal of Control and Decision, (2024), 1-23.

47) M. Johnson, M. Mohan Raja, V. VIJAYAKUMAR and Anurag Shukla, Optimal control results for fractional differential hemivariational inequalities of order r ∈ (1,2), Optimization, (2024), 1-25.

48)  J. Pradeesh and V. VIJAYAKUMAR, An analysis on asymptotic stability of Hilfer fractional stochastic evolution equations with infinite delay, Optimization, (2024), 1-25.

49) S. Vivek and V. VIJAYAKUMAR, A class of time optimal feedback control for fractional neutral evolution hemivariational inequalities with fixed delay, Optimization, (2024), 1-23.

50) J. Pradeesh, Sumati Kumari Panda, V. VIJAYAKUMAR, T. Radhika and A. Chandrasekar, Controllability results for Sobolev-type analytic resolvent nonlocal neutral functional integrodifferential inclusions with impulses, Journal of Control and Decision, (2024), 1-23.

51) Yong-Ki Ma, Sumati Kumari Panda and V. VIJAYAKUMAR, Existence and controllability results for second-order non-autonomous neutral evolution system with hemivariational inequalities, Journal of Control and Decision, (2024), 1-21.

52) J. Pradeesh, Sumati Kumari Panda, V. VIJAYAKUMAR, T. Radhika and A. Chandrasekar, Results on controllability of Sobolev-type nonlocal neutral functional integrodifferential evolution hemivariational inequalities with impulsive effects via resolvent operators, Journal of Applied Mathematics and Computing, (2024), 1-23.

53) Sumati Kumari Panda, V. VIJAYAKUMAR and Ravi P. Agarwal, Remotely multi-term and transparently single-term fractional differential equations, Journal of Applied Mathematics and Computing, (2024), 1-31.

54) R. Sasikumar and V. VIJAYAKUMAR, A note on the approximate controllability of damped second-order differential inclusions with state-dependent delay, Optimization, (2024), 1-18.

55) S. Vivek and V. VIJAYAKUMAR, Discussion on optimal feedback control for stochastic fractional differential system by hemivariational inequalities, Journal of Control and Decision, (2024), 1-24.

56) K. Jothimani, N. Valliammal and V. VIJAYAKUMAR, Numerical and analytical approach of nonlinear fractional pantograph nonlocal differential systems with non-singular kernel, The Journal of Analysis, (2024), 1-14.

57) A. Priyadharsini and V. VIJAYAKUMAR, Discussion on the existence and controllability of Hilfer fractional stochastic differential equation with non-dense domain, Journal of Control and Decision, (2024), 1-25.

58) R. Sasikumar and V. VIJAYAKUMAR, Approximate controllability of damped second-order neutral differential equations with state-dependent delay, International Journal of Control, (2024), 1-15.

59) R. S. Shanmugapriya and V. VIJAYAKUMAR, On the approximate controllability of second-order stochastic differential systems with hemivariational inequalities with damping, Optimization, (2024), 1-23.

60) R. Sasikumar and V. VIJAYAKUMAR, Discussion on the approximate controllability of second-order neutral differential inclusions with damping, Qualitative Theory of Dynamical Systems, 23 (284) (2024), 1-24.

61) M. Mohan Raja and V. VIJAYAKUMAR  and Kalyan C. Veluvolu, Improved order in Hilfer fractional differential systems: solvability and optimal control problem for hemivariational inequalities, Chaos, Solitons and Fractals, 188 (2024), 1-8. 115558.

62) K. Muthuvel, K. Kaliraj, Kottakkaran Sooppy Nisar and V. VIJAYAKUMAR, Relative controllability for ψ−Caputo fractional delay control system, Results in Control and Optimization, 16 (2024), 1-20. 100475.

63) Yong-Ki Ma, N. Valliammal, K. Jothimani and V. VIJAYAKUMAR, Solvability and controllability of second-order non-autonomous impulsive neutral evolution hemivariational inequalities, AIMS Mathematics, 9 (10) (2024), 26462-26482.

64) A. Shukla, Sumati Kumari Panda, V. VIJAYAKUMAR, Kamalendra Kumar and K. Thilagavathi, Approximate controllability of Hilfer fractional stochastic evolution inclusions of order 1 < q < 2, Fractal and Fractional, 8 (499) (2024), 1-17.

65) T. Radhika, A. Chandrasekar and V. VIJAYAKUMAR, Finite-time H∞ synchronization of semi-Markov jump neural networks with two delay components with stochastic sampled-data control, Bulletin de Sciences Mathematiques, 195 (2024), 1-18. 103482.

66) Sumati Kumari Panda, V. VIJAYAKUMAR and Ravi P. Agarwal, Complex-valued suprametric spaces, related fixed point results, and their applications to Barnsley Fern fractal generation and mixed Volterra-Fredholm integral equations, Fractal and Fractional,  8 (7) (2024), 1-26.

67) N. Valliammal, K. Jothimani and V. VIJAYAKUMAR, Integral contractor approach on controllability of Hilfer-Langevin system, Journal of Applied Mathematics and Computing, 70 (2024), 4909-4922.

68) Sumati Kumari Panda and V. VIJAYAKUMAR, Computation and convergence of fixed-point with an RLC-electric circuit model in an extended b-suprametric space, Scientific Reports,  14 (9479) (2024), 1-20. 

69) K. Dhawan, R. K. Vats and V. VIJAYAKUMAR, Analyzing single- and multi-valued nonlinear Caputo two-term fractional differential equation with integral boundary conditions, Qualitative Theory of Dynamical Systems, 23 (174) (2024), 1-29.

70) J. Pradeesh and V. VIJAYAKUMAR, An investigation on the partial approximate controllability results for nonlocal neutral fractional differential systems via approximation method, Bulletin de Sciences Mathematiques, 23 (5) (2024), 1-18. 158.

71) M. Mohan Raja and V. VIJAYAKUMAR, Kalyan C. Veluvolu, Anurag Shukla and Kottakkaran Sooppy Nisar, Existence and optimal control results for Caputo fractional delay Clark’s subdifferential inclusions of order r ∈ (1, 2) with sectorial operators, Optimal Control Applications & Methods, 45 (4) (2024), 1832-1850.

72) J. Pradeesh and V. VIJAYAKUMAR, A new approach on the approximate controllability results for Hilfer fractional stochastic hemivariational inequalities of order 1 < µ < 2, Qualitative Theory of Dynamical Systems, 23 (158) (2024), 1-23.  

73) J. Pradeesh and V. VIJAYAKUMAR, On the asymptotic stability of Hilfer fractional neutral stochastic differential systems with infinite delay, Qualitative Theory of Dynamical Systems, 23 (153) (2024), 1-23. 103416.

74) S. Vivek and V. VIJAYAKUMAR, An analysis on the optimal feedback control for Caputo fractional neutral evolution systems in Banach spaces, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 118 (2) (2024), 1-20.

75) Sumati Kumari Panda, Ilyas Khan, V. VIJAYAKUMAR and Shafiullah Niazai, Enhancing automic and optimal control systems through graphical structures, Scientific Reports, 14 (3139) (2024), 1-17. 

76) Yong-Ki Ma, K. Kavitha, Anurag Shukla, V. VIJAYAKUMAR, Kottakkaran Sooppy Nisar, An analysis on the optimal control and approximate controllability for Hilfer fractional neutral integro-differential systems with finite delay, Optimal Control Applications & Methods, 45 (3) (2024), 1086-1107.

77) S. Vivek and V. VIJAYAKUMAR, New discussion on optimal feedback control for Caputo fractional neutral evolution systems governed by hemivariational inequalities, Mathematical Methods in the Applied Sciences, 47 (6) (2024), 3903-3920.

78) Pooja Gautam, Anurag Shukla, M. Johnson and V. VIJAYAKUMAR, Approximate controllability of third order dispersion systems using sequential approach, Bulletin de Sciences Mathematiques, 191 (2024), 1-14. 103394.

79) M. Johnson and V. VIJAYAKUMAR, An analysis on the optimal control results for second-order Sobolev-type delay differential inclusions of Clarke’s subdifferential type, Communications in Nonlinear Science and Numerical Simulation, 128 (2024), 1-25. 107649.

80) J. Pradeesh and V. VIJAYAKUMAR, Investigating the existence results for Hilfer fractional stochastic evolution inclusions of order  1< μ< 2, Qualitative Theory of Dynamical Systems, 23 (1) (2024), 1-20. 46.

81) W. Kavitha Williams, V. VIJAYAKUMAR, R. Udhayakumar, Sumati Kumari Panda and Kottakkaran Sooppy Nisar, Existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order 1 < r < 2, Numerical Methods for Partial Differential Equations, 40 (1) (2024), 1-22. e22697.

82) C. Dineshkumar, R. Udhayakumar, V. VIJAYAKUMAR and Kottakkaran Sooppy Nisar, Results on approximate controllability of neutral integro-differential stochastic system with state-dependent delay, Numerical Methods for Partial Differential Equations, 40 (1) (2024), 1-19. e22698.

83) V. VIJAYAKUMAR, R. Udhayakumar, Sumati Kumari Panda and Kottakkaran Sooppy Nisar, Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities, Numerical Methods for Partial Differential Equations, 40 (1) (2024), 1-19. e22690.

84) M. Mohan Raja, V. VIJAYAKUMAR, R. Udhayakumar and Kottakkaran Sooppy Nisar, Results on existence and controllability results for fractional evolution inclusions of order 1<r<2 with Clarke’s subdifferential type, Numerical Methods for Partial Differential Equations, 40 (1) (2024), 1-18. e22691.

85) Sumati Kumari Panda, V. VIJAYAKUMAR and A. M. Nagy, Complex-valued neural networks with time delays in the Lp sense: Numerical simulations and finite time stability, Chaos, Solitons and Fractals, 177 (2023), 1-15. 114263.

86) W. Kavitha Williams and V. VIJAYAKUMAR, Existence and approximate controllability results for the second-order abstract neutral differential system with damping, Qualitative Theory of Dynamical Systems, 23 (1) (2023), 1-22. 44.

87) N. Valliammal, K. Jothimani, Sumati Kumari Panda and V. VIJAYAKUMAR, An investigation on the existence and approximate controllability of neutral stochastic hemivariational inequalities, Rendiconti del Circolo Matematico di Palermo Series 2, 73 (3) (2024), 941-958.

88) S. Vivek and V. VIJAYAKUMAR, An investigation on existence and optimal feedback control for fractional neutral stochastic evolution hemivariational inequalities, Qualitative Theory of Dynamical Systems, 23 (1) (2024), 1-18.

89) K. Kavitha and V. VIJAYAKUMAR, A discussion concerning approximate controllability results for Hilfer fractional evolution equations with time delay, Mathematical Sciences, 18 (2024), 195-203.

90) U. Arora, V. VIJAYAKUMAR, A. K. Singh, H. K. Sahu and A. Shukla, Results on approximate controllability for a second-order semilinear nonlocal control system with monotonic nonlinearity, Journal of Control and Decision, 11 (2) (2024), 283-292.

91) M. Johnson, V. VIJAYAKUMAR, Anurag Shukla, Kottakkaran Sooppy Nisar and Bipan Hazarika, Existence and approximate controllability results for second-order impulsive stochastic neutral differential systems, Applicable Analysis, 103 (2) (2024), 481-505.

92) Yang Cao, A. Chandrasekar, T. Radhika and V. VIJAYAKUMAR, Input-to-state stability of stochastic Markovian jump genetic regulatory networks, Mathematics and Computers in SImulation, 222 (2024), 174-187.

93) V. VIJAYAKUMAR, Kottakkaran Sooppy Nisar, Manoj Shukla and Anurag Shukla, Impulsive second order control differential equations: Existence and approximate controllability, Journal of King Saud University - Science, 35 (9) (2023), 1-12. 102925.

94) Rohit Patel, V. VIJAYAKUMAR, Shimpi Singh Jadon and Anurag Shukla, An analysis on the existence of mild solution and optimal control for semilinear thermoelastic system, Numerical Functional Analysis and Optimization, 44 (14) (2023), 1570-1582.

95) K. Jothimani, N. Valliammal, M. Johnson,  Sumati Kumari Panda and V. VIJAYAKUMAR, Approximate controllability analysis of impulsive neutral functional hemivariational inequalities, Communications in Nonlinear Science and Numerical Simulation, 127 (2023), 1-20. 107560.

96) Yong-Ki Ma, M. Mohan Raja, V. VIJAYAKUMAR, Anurag Shukla, Kottakkaran Sooppy Nisar and K. Thilagavathi, New results on approximate controllability of fractional delay integrodifferential systems of order 1 < r < 2 with Sobolev-type, Alexandria Engineering Journal, 81 (2023), 501-518.

97) Sumati Kumari Panda, A. M. Nagy, V. VIJAYAKUMAR and Bipan Hazarika, Stability analysis for complex-valued neural networks with fractional order, Chaos, Solitons and Fractals, 175 (2) (2023), 1-17. 114045.

98) M. Mohan Raja, V. VIJAYAKUMAR, Juan J. Nieto, Sumati Kumari Panda, Anurag Shukla and  Kottakkaran Sooppy Nisar, An analysis on the approximate controllability results for Caputo fractional hemivariational inequalities of order 1 < r < 2 using sectorial operators, Nonlinear Analysis: Modelling and Control, 28 (6) (2023), 1037-1061.

99) Sumati Kumari Panda, V. VIJAYAKUMAR and Kottakkaran Sooppy Nisar, Applying periodic and anti-periodic boundary conditions in existence results of fractional differential equations via nonlinear contractive mappings, Boundary Value Problems, 91 (2023), 1-25.

100)                M. Mohan Raja and V. VIJAYAKUMAR and Kalyan C. Veluvolu, An analysis on approximate controllability results for impulsive fractional differential equations of order 1 <r <2 with infinite delay using sequence method, Mathematical Methods in the Applied Sciences, 47 (1) (2024), 336-351.

101)                Muslim Malik, V. VIJAYAKUMAR and Anurag Shukla, Controllability of discrete-time semilinear Riemann-Liouville-like fractional equations, Chaos, Solitons and Fractals, 175 (1) (2023), 1-15. 113959.

102)                Yong-Ki Ma, J. Pradeesh, Anurag Shukla, V. VIJAYAKUMAR, K. Jothimani, An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators, Heliyon, 9 (10) (2023), 1-22.

103)                S. Vivek and V. VIJAYAKUMAR, A note concerning to optimal feedback control for Caputo fractional neutral stochastic evolution systems, Qualitative Theory of Dynamical Systems, 22 (155) (2023), 1-18.

104)                M. Mohan Raja and V. VIJAYAKUMAR and Kalyan C. Veluvolu, An analysis concerning to the existence of mild solution for Hilfer fractional neutral evolution system on infinite interval, Mathematical Methods in the Applied Sciences, 46 (18) (2023), 19277-19288.

105)                C. Dineshkumar, V. VIJAYAKUMAR, R. Udhayakumar, Kottakkaran Sooppy Nisar and Anurag Shukla, Results on approximate controllability results for fractional stochastic delay differential systems of order r ∈ (1,2), Stochastics and Dynamics, 23 (6) (2023), 1-24. 2350047.

106)                Sumati Kumari Panda and V. VIJAYAKUMAR, Results on finite time stability of various fractional order systems, Chaos, Solitons and Fractals, 174 (2023), 1-15. 113906.

107)                S. Vivek and V. VIJAYAKUMAR, An analysis on the approximate controllability of neutral functional hemivariational inequalities with impulses, Optimization, 73 (13) (2023), 3951-3974. 

108)                T. Radhika, A. Chandrasekar, V. VIJAYAKUMAR and Quanxin Zhu, Analysis of Markovian jump stochastic Cohen-Grossberg BAM neural networks with time delays for exponential input-to-state stability, Neural Processing Letters, 55 (2023), 11055-11072.

109)                Sumati Kumari Panda, V. VIJAYAKUMAR, Bipan Hazarika and Kottakkaran Sooppy Nisar, Solving existence results in multi-term fractional differential equations via fixed points, Results in Physics, 51 (2023), 1-16. 106612.

110)                K. Jothimani, N. Valliammal and V. VIJAYAKUMAR, An exploration of controllability on Hilfer fractional system via integral contractor, Mathematical Methods in the Applied Sciences, (46) (15) 2023), 16156-16169.

111)                M. Mohan Raja and V. VIJAYAKUMAR, Approximate controllability results for the Sobolev type fractional delay impulsive integrodifferential inclusions of order r ∈ (1, 2) via sectorial operator, Fractional Calculus and Applied Analysis, (2023), 1-25.

112)                K. Dhawan, R. K. Vats and V. VIJAYAKUMAR, Analysis of neutral fractional differential equation via the method of upper and lower solution, Qualitative Theory of Dynamical Systems, 22 (93) (2023), 1-10.

113)                M. Johnson, K. Kavitha, Dimplekumar Chalishajar, Muslim Malik, V. VIJAYAKUMAR and Anurag Shukla, An analysis of approximate controllability for Hilfer fractional delay differential equations of Sobolev type without uniqueness, Nonlinear Analysis: Modelling and Control, 28 (4) (2023), 632-654.

114)                W. Kavitha Williams and V. VIJAYAKUMAR, New discussion on the existence and controllability of fractional evolution inclusion of order 1 < r < 2 without compactness, Mathematical Methods in the Applied Sciences, 46 (12) (2021), 13188-13204.

115)                M. Johnson and V. VIJAYAKUMAR, An analysis on the optimal control for fractional stochastic delay integrodifferential systems of order 1 < γ < 2, Fractal and Fractional, 7 (4) (2023), 1-24.

116)                V. VIJAYAKUMAR, Muslim Malik and Anurag Shukla, Results on the approximate controllability of Hilfer type fractional semilinear control systems, Qualitative Theory of Dynamical Systems, 22 (58) (2023), 1-14.

117)                M Johnson and V. VIJAYAKUMAR, Optimal control results for Sobolev-type fractional stochastic Volterra-Fredholm integrodifferential systems of order ϑ ∈ (1,2) via sectorial operators, Numerical Functional Analysis and Optimization, 44 (6) (2023), 439-460.

118)                Yong-Ki Ma, M. Johnson, V. VIJAYAKUMAR, T. Radhika, Anurag Shukla and Kottakkaran Sooppy Nisar, A note on approximate controllability of second-order impulsive stochastic Volterra-Fredholm integrodifferential system with infinite delay, Journal of King Saud University - Science, 35 (4) (2023),1-10. 102637.

119)                M. Mohan Raja, V. VIJAYAKUMAR, Anurag Shukla, Kottakkaran Sooppy Nisar, Wedad Albalawi and Abdel-Haleem  Abdel-Aty,  A new discussion concerning to exact controllability for fractional mixed Volterra-Fredholm integrodifferential equations of order r ∈ (1, 2) with impulses, AIMS Mathematics, 8 (5) (2023), 10802-10821.

120)                Ajay Kumar, Rohit Patel, V. VIJAYAKUMAR and Anurag Shukla, Investigation on the approximate controllability of fractional differential systems with state delay, Circuits, Systems and Signal Processing, 42 (2023), 4585-4602.

121)                M Johnson, M Mohan Raja, V. VIJAYAKUMAR, Anurag Shukla, Kottakkaran Sooppy Nisar and Hadi Jahanshahi, Optimal control results for impulsive fractional delay integrodifferential equations of order r ∈ (1,2) via sectorial operator, Nonlinear Analysis: Modelling and Control, 28 (3) (2023), 468-490.

122)                K. Kavitha, V. VIJAYAKUMAR and Kottakkaran Sooppy Nisar, On the approximate controllability of non-densely defined Sobolev-type nonlocal Hilfer fractional neutral Volterra-Fredholm delay integro-differential system, Alexandria Engineering Journal, 69 (2023), 57-65.

123)                Yong-Ki Ma, C. Dineshkumar, V. VIJAYAKUMAR, R. Udhayakumar, Anurag Shukla and Kottakkaran Sooppy Nisar, Hilfer fractional neutral stochastic Sobolev-type evolution hemivariational inequality: Existence and controllability, Ain Shams Engineering Journal, 14 (9) (2023), 1-27. 102126. 

124)                C. Dineshkumar, R. Udhayakumar, V. VIJAYAKUMAR, Anurag Shukla and Kottakkaran Sooppy Nisar, Discussion on the approximate controllability of nonlocal fractional derivative by Mittag-Leffler kernel to stochastic differential systems, Qualitative Theory of Dynamical Systems, 22 (27) (2023), 1-31.

125)                C. Dineshkumar, R. Udhayakumar, V. VIJAYAKUMAR, Anurag Shukla and Kottakkaran Sooppy Nisar, New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order r ∈ (1,2), Communications in Nonlinear Science and Numerical Simulation, 116 (2023), 1-22. 106891.

126)                W. Kavitha Williams and V. VIJAYAKUMAR, Existence of Atangana-Baleanu fractional neutral Volterra integro-differential equations with non-instantaneous impulses, Bulletin de Sciences Mathematiques, 182 (2023), 1-30. 103211.

127)                Yong-Ki Ma, V. VIJAYAKUMAR, Anurag Shukla, Kottakkaran Sooppy Nisar, K. Thilagavathi, Hemant Kumar Nashine, Arun Kumar Singh and Mohammed Zakarya, Discussion on the existence of mild solution for fractional derivative by Mittag-Leffler kernel to fractional stochastic neutral differential inclusions, Alexandria Engineering Journal, 63 (2023), 271-282.

128)                M. Johnson, V. VIJAYAKUMAR, Kottakkaran Sooppy Nisar, Anurag Shukla, Thongchai Botmart, V. Ganesh, Results on the approximate controllability of Atangana-Baleanu fractional stochastic delay integrodifferential systems, Alexandria Engineering Journal, 62 (2023), 211-222.

129)                Zizhen Zhang, Weishi Zhang, Kottakkaran Sooppy Nisar, Nadia Gul, Anwar Zeb and V. VIJAYAKUMAR, Dynamical aspects of a tuberculosis transmission model incorporating vaccination and time delay, Alexandria Engineering Journal, 66 (2023), 287-300.

130)                W. Kavitha Williams, V. VIJAYAKUMAR, Kottakkaran Sooppy Nisar and Anurag Shukla, Atangana-Baleanu semilinear fractional differential inclusions with infinite delay: Existence and approximate controllability, Journal of Computational and Nonlinear Dynamics, 18 (2) (2023), 1-15.

131)                K. Kavitha and V. VIJAYAKUMAR, Optimal control for Hilfer fractional neutral integrodifferential evolution equations with infinite delay, Optimal Control Applications & Methods, 44 (1) (2023), 130-147.

132)                Yong-Ki Ma, C. Dineshkumar, V. VIJAYAKUMAR, R. Udhayakumar, Anurag Shukla and Kottakkaran Sooppy Nisar, Approximate controllability of Atangana-Baleanu fractional neutral delay integrodifferential stochastic systems with nonlocal conditions, Ain Shams Engineering Journal, 14 (3) (2023), 1-13. 101882. 

133)                V. VIJAYAKUMAR, R. Udhayakumar, Y. Zhou and N. Sakthivel, Approximate controllability results for Sobolev-type delay differential system of fractional order without uniqueness, Numerical Methods for Partial Differential Equations, 39 (5) (2023), 3479-3498.

134)                R. Patel, V. VIJAYAKUMAR, Juan J. Nieto, S. S. Jadon and A. Shukla, A note on the existence and optimal control for mixed Volterra-Fredholm type integrodifferential dispersion system of third-order, Asian Journal of Control, 25 (3) (2023), 2113-2121.

135)                M. Mohan Raja, V. VIJAYAKUMAR, Anurag Shukla, Kottakkaran Soopy Nisar, Shahram Rezapour, Investigating existence results for fractional evolution inclusions with order r∈(1,2) in Banach space, International Journal of Nonlinear Sciences and Numerical Simulation, 24 (6) (2023), 2047-2060.

136)                W. Kavitha Williams, V. VIJAYAKUMAR, Anurag Shukla and Kottakkaran Sooppy Nisar, An analysis on approximate controllability of Atangana-Baleanu fractional semilinear control systems, International Journal of Nonlinear Sciences and Numerical Simulation, 24 (7) (2023), 2627-2638.

137)                K. Kavitha and V. VIJAYAKUMAR, Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay, International Journal of Nonlinear Sciences and Numerical Simulation, 24 (5) (2023), 1751-1767.

138)                C. Dineshkumar, V. VIJAYAKUMAR, R. Udhayakumar, Anurag Shukla and Kottakkaran Sooppy Nisar, Controllability discussion for fractional stochastic Volterra-Fredholm integro-differential systems of order 1<r<2, International Journal of Nonlinear Sciences and Numerical Simulation, 24 (5) (2023), 947-1979.

139)                M. Johnson and V. VIJAYAKUMAR, An investigation on the optimal control for Hilfer fractional neutral stochastic integrodifferential systems with infinite delay, Fractal and Fractional, 6 (10) (2022), 1-22.

140)                N. Sakthivel, Yong-Ki Ma, M. Mounika Devi, G. Manopriya, V. VIJAYAKUMAR and Mooyul Huh, Nonuniform sampled-data control for synchronization of semi-Markovian jump stochastic complex dynamical networks with time-varying delays, Complexity, 2022 (2022), 1-18.

141)                M. Mohan Raja, Anurag Shukla, Juan J. Nieto, V. VIJAYAKUMAR and Kottakkaran Sooppy Nisar, A note on the existence and controllability results for fractional integrodifferential inclusions of order r∈(1, 2] with impulses, Qualitative Theory of Dynamical Systems, 21 (150) (2022), 1-38.

142)                Alamgir Khan, Javed Iqbal, Ali Akgul, Rashid Ali, Yuting Du, Arafat Hussain, Kottakkaran Sooppy Nisar and V. VIJAYAKUMAR, A Newton-type technique for solving absolute value equations,  Alexandria Engineering Journal, 64 (2022), 291-296.

143)                Urvashi Arora, V. VIJAYAKUMAR, Anurag Shukla, Kottakkaran Sooppy Nisar and Mohammad Sajid, A discussion on controllability of nonlocal fractional semilinear equations of order 1<r<2 with monotonic nonlinearity, Journal of King Saud University - Science, 34 (2022),1-7. 102295.

144)                Anurag Shukla, V. VIJAYAKUMAR, Kottakkaran Sooppy Nisar, Arun Kumar Singh, R. Udhayakumar, Thongchai Botmart, Wedad Albalawi and Mona Mahmoud, An analysis on approximate controllability of semilinear control systems with impulsive effects, Alexandria Engineering Journal, 61 (12) (2022), 12293-12299.

145)                N. Sakthivel, S. Pallavi, Yong-Ki Ma and V. VIJAYAKUMAR, Finite-time dissipative synchronization of discrete-time semi-Markovian jump complex dynamical networks with actuator faults, Soft Computing, 26 (2022), 8371-8386.

146)                Yong-Ki Ma, W. Kavitha Williams, V. VIJAYAKUMAR, Kottakkaran Sooppy Nisar and Anurag Shukla, Results on Atangana-Baleanu fractional semilinear neutral delay integro-differential systems in Banach space, Journal of King Saud University - Science, 34 (6) (2022), 1-12. 102158.

147)                M. Mohan Raja, V. VIJAYAKUMAR, Anurag Shukla, Kottakkaran Sooppy Nisar and Haci Mehmet Baskonus, On the approximate controllability results for fractional integrodifferential systems of order 1 < r < 2 with sectorial operators, Journal of Computational and Applied Mathematics, 415 (1) (2022), 1-18.114492.

148)                C. Dineshkumar, R. Udhayakumar, V. VIJAYAKUMAR, Anurag Shukla and Kottakkaran Sooppy Nisar, A note on existence and approximate controllability outcomes of Atangana-Baleanu neutral fractional stochastic hemivariational inequality, Results in Physics, 38 (2022), 1-27. 105647.

149)                K. Kavitha and V. VIJAYAKUMAR, An analysis regarding to approximate controllability for Hilfer fractional neutral evolution hemivariational inequality, Qualitative Theory of Dynamical Systems, 21 (80) (2022), 1-22.

150)                A. Singh, V. VIJAYAKUMAR, A. Shukla and S. Chauhan, A note on asymptotic stability of semilinear thermoelastic system, Qualitative Theory of Dynamical Systems, 21 (75) (2022), 1-8.

151)                K. S. Nisar and V. VIJAYAKUMAR,  An analysis concerning to approximate controllability results for second-order Sobolev-type delay differential systems with impulses, Journal of Inequalities and Applications, 2022 (53) (2022), 1-26.

152)                K. Kavitha, V. VIJAYAKUMAR, K. S. Nisar, A. Shukla, W. Albalawi and  A. H.  Abdel-Aty, Existence and controllability of Hilfer fractional neutral differential equations with time delay via sequence method, AIMS Mathematics, 7 (7) (2022), 12760-12780.

153)                M. Mohan Raja and V. VIJAYAKUMAR, Existence results for Caputo fractional mixed Volterra-Fredholm-type integrodifferential inclusions of order r ∈ (1 , 2) with sectorial operators, Chaos, Solitons and Fractals, 159 (2022), 1-8. 112127.

154)                Yong-Ki Ma, Kamalendra Kumar, Rohit Patel, Anurag Shukla, Kottakkaran Sooppy Nisar and V. V. VIJAYAKUMAR,  An investigation on boundary controllability for Sobolev-type neutral evolution equations of fractional order in Banach space, AIMS Mathematics, 7 (7) (2022), 11687-11707.

155)                Amjad Hussain, Muhammad Khubaib Zia, Kottakkaran Sooppy Nisar, V. VIJAYAKUMAR and Ilyas Khan, Lie analysis, conserved vectors, nonlinear self-adjoint classification and exact solutions of generalized (N + 1)-dimensional nonlinear Boussinesq equation, AIMS Mathematics, 7 (7) (2022), 13139-13168.

156)                Sumbal Ahsan, Rashid Nawaz, Muhammad Akbar, Saleem Abdullah, Kottakkaaran Sooppy Nisar and V. VIJAYAKUMAR, Numerical solution of system of fuzzy fractional order Volterra integrodifferential equation using optimal homotopy asymptotic method, AIMS Mathematics, 7 (7) (2022), 13169-13191.

157)                M. Mohan Raja and V. VIJAYAKUMAR, Optimal control results for Sobolev-type fractional mixed Volterra-Fredholm type integro-differential equations of order 1 < r < 2 with sectorial operators, Optimal Control, Applications and Methods, 43 (5) (2022), 1314-1327.

158)                Yong-Ki Ma, M. Mohan Raja, Kottakkaran Sooppy Nisar, Anurag Shukla and V. VIJAYAKUMAR, Results on controllability for Sobolev type fractional differential equations of order 1 < r < 2, AIMS Mathematics, 7 (6) (2022), 10215-10233.

159)                Yong-Ki Ma, M. Mohan Raja, V. VIJAYAKUMAR, Anurag Shukla, Wedad Albalawi and Kottakkaran Sooppy Nisar, Existence and continuous dependence results for fractional evolution integrodifferential equations of order r ∈ (1, 2), Alexandria Engineering Journal, 6 (12) (2022), 9929-9939.

160)                Muhammad Farman, Aqeel Ahmad, Ali Akgul, Muhammad Umer Saleem, Kottakkaran Sooppy Nisar and V. VIJAYAKUMAR, Dynamical behavior of tumor-immune system with fractal-fractional operator, AIMS Mathematics, 7 (5) (2022), 8751-8773.

161)                M.S Hashmi, Rabia Shikrani, Farwa Nawaz, Ghulam Mustafa, Kottakkaran Sooppy Nisar and V. VIJAYAKUMAR,  An effective approach to solve fractional partial differential equations based on hybrid B-spline, AIMS Mathematics, 7 (6) (2022), 10344-10363.

162)                Rohit Patel, Anurag Shukla, J. J. Nieto, V. VIJAYAKUMAR and Shimpi Singh Jadon, New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces, Nonlinear Analysis: Modelling and Control, 27 (3) (2022), 496-512.

163)  C. Dineshkumar, R. Udhayakumar, V. VIJAYAKUMAR, Anurag Shukla and Kottakkaran Sooppy Nisar, A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay, Chaos, Solitons and Fractals, 157 (2022), 1-17. 111916.

164)  K. Kavitha and V. VIJAYAKUMAR, A discussion concerning to partial-approximate controllability of Hilfer fractional system with nonlocal conditions via approximating method, Chaos, Solitons and Fractals, 157 (2022), 1-9. 111924.

165)  Yong-Ki Ma, Kamalendra Kumar, Rakesh Kumar, Rohit Patel, Anurag Shukla and V. V. VIJAYAKUMAR, Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems, AIMS Mathematics, 7 (5), (2022), 7642-7656.

166)  V. VIJAYAKUMAR, Kottakkaran Sooppy Nisar, Dimplekumar N. Chalishajar, Anurag Shukla, Muslim Malik, Ateq Alsaadi, Saud Fahad Aldosary, A note on approximate controllability of fractional semilinear integro-differential control systems via resolvent operators, Fractal and Fractional, 73 (6) (2022), 1-14.

167)  V. VIJAYAKUMAR, Saud Fahad Aldosary and Kottakkaran Sooppy Nisar, Exact controllability results for Sobolev-type Hilfer fractional neutral delay Volterra-Fredholm integro-differential systems, Fractal and Fractional, 6 (2) (2022), 1-21.

168)  Sachin Kumar Verma, Ramesh Kumar Vats, Avadhesh Kumar, V. VIJAYAKUMAR and Anurag Shukla, A discussion on the existence and uniqueness analysis for the coupled two-term fractional differential equations, Turkish Journal of Mathematics, 46 (2022), 516-532.

169)  M. Mohan Raja and V. VIJAYAKUMAR, New results concerning to approximate controllability of fractional integrodifferential evolution equations of order 1 < r < 2, Numerical Methods for Partial Differential Equations, 38 (3) (2022), 509-524.

170)  K. Kavitha, V. VIJAYAKUMAR, R. Udhayakumar and C. Ravichandran, Results on controllability of Hilfer fractional differential equations with infinite delay via measures of noncompactness, Asian Journal of Control, 24 (3) (2022), 1406-1415.

171)  C. Dineshkumar, Kottakkaran Sooppy Nisar, R. Udhayakumar and V. VIJAYAKUMAR, New discussion about the approximate controllability of fractional stochastic differential inclusions with order 1 < r < 2, Asian Journal of Control, 24 (5) (2022), 2519-2533.

172)  C. Dineshkumar, Kottakkaran Sooppy Nisar, R. Udhayakumar and V. VIJAYAKUMAR, A discussion on approximate controllability of Sobolev-type Hilfer neutral fractional stochastic differential inclusions, Asian Journal of Control, 24 (5) (2022), 2378-2394.

173)  M. Mohan Raja, V. VIJAYAKUMAR,  Anurag Shukla, Kottakkaran Sooppy Nisar, N. Sakthivel and K. Kaliraj, Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order r ∈ (1, 2), Optimal Control, Applications and Methods, 43 (4) (2022), 996-1019.

174)  Yong-Ki Ma, K Kavitha, Wedad Albalawi, Anurag Shukla, Kottakkaran Sooppy Nisar and V. VIJAYAKUMAR, An analysis on the approximate controllability of Hilfer fractional neutral differential systems in Hilbert spaces, Alexandria Engineering Journal, 61 (9) (2022), 7291-7302.

175)  V. VIJAYAKUMAR, Kottakkaran Sooppy Nisar, Anurag Shukla, Bipan Hazarika and R. Samidurai, An investigation on the approximate controllability of impulsive neutral delay differential inclusions of second-order, Mathematical Methods in the Applied Sciences, (2022), 1-17.

176)  Kamalendra Kumar, Rohit Patel, V. VIJAYAKUMAR, Anurag Shukla and C. Ravichandran, A discussion on boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations, Mathematical Methods in the Applied Sciences, 45 (13) (2022), 8193-8215.

177)  Anurag Shukla, V. VIJAYAKUMAR and Kottakkaran Sooppy Nisar, A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order r ∈ (1 , 2), Chaos, Solitons and Fractals, 154 (2021), 1-8. 111615.

178)  Wasim Jamshed, Mohamed R. Eid, Abederrahmane Aissa, Abed Mourad, Kottakkaran Sooppy Nisar, Faisal Shahzad, C. Ahamed Saleel and V. VIJAYAKUMAR, Partial velocity slip effect on working magneto non-Newtonian nanofluids flow in solar collectors subject to change viscosity and thermal conductivity with temperature, PLoS ONE, 16 (11) (2021), 1-30. e0259881.

179)  V. VIJAYAKUMAR, Anurag Shukla, Kottakkaran Sooppy Nisar, W. Jamshed and Shahram Rezapour, A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators, Advances in Difference Equations, 2021 (484) (2021), 1-13.

180)  M. Mohan Raja, V. VIJAYAKUMAR,  Anurag Shukla, Kottakkaran Sooppy Nisar and Shahram Rezapour, New discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2, Advances in Difference Equations, 2021 (481) (2021), 1-19.

181)  W. Kavitha Williams and V. VIJAYAKUMAR, Discussion on the controllability results for fractional neutral impulsive Atangana-Baleanu delay integro-differential systems, Mathematical Methods in the Applied Sciences, (2021), 1-17. DOI:10.1002/mma.7754.

182)  C. Dineshkumar, R. Udhayakumar, V. VIJAYAKUMAR, Anurag Shukla and Kottakkaran Sooppy Nisar, A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order r ∈ (1 , 2) with delay, Chaos, Solitans & Fractals, 154 (1) (2021), 1-16. 111565.

183)  Urvashi Arora, V. VIJAYAKUMAR, Anurag Shukla, Kottakkaran Sooppy Nisar, Shahram Rezapour and Wasim Jamshed, Results on exact controllability of second-order semilinear control system in Hilbert spaces, Advances in Difference Equations, 2021 (455) (2021), 1-13.

184)  K. Kavitha, Kottakkaran Sooppy Nisar, Anurag Shukla, V. VIJAYAKUMAR and Shahram Rezapour, A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems, Advances in Difference Equations, 2021 (467) (2021), 1-18.

185)  Shahram Rezapour, Hernan R. Henriquez, V. VIJAYAKUMAR, Kottakkaran Sooppy Nisar and Anurag Shukla, A note on existence of mild solutions for second-order neutral integro-differential evolution equations with state-dependent delay, Fractal and Fractional, 5 (3) (2021), 1-17.

186)  Wasim Jamshed, Mohamed R. Eid, Kottakkaran Sooppy Nisar, Nor Ain Azeany Mohd Nasir, Abilash Edacherian, C. Ahmed Saleel, and V. VIJAYAKUMAR, A numerical frame work of magnetically driven Powell-Eyring nanofluid using single phase model, Scientific Reports, 11 (2021), 1-26. 16500.

187)  Brahimi Hiba, Fares blueouane, Wasim Jamshed, C. Ahamed Saleel, S. Suriya Uma Devi, M. Prakash, Kottakkaran Sooppy Nisar, V. VIJAYAKUMAR, and Mohamed R. Eid, Case Studies in Thermal Engineering, (2021), 1-10. 101372.

188)  Wasim Jamshed, S. R. Mishra, P. K. Pattnaik, Kottakkaran Sooppy Nisar, S. Suriya Uma Devi, M. Prakash, Faisal Shahzad, Majid Hussain and V. VIJAYAKUMAR, Features of entropy optimization on viscous second grade nanofluid streamed with thermal radiation: a Tiwari and Das model, Case Studies in Thermal Engineering, 27 (2021), 1-15. 101291.

189)  Tamour Zubair, Muhammad Usman, Muhammad Hamid, Muhammad Sohail, Umar Nazir, Kottakkaran Nisar and V. VIJAYAKUMAR, Computational analysis of radiative Williamson hybrid nanofluid comprising variable thermal conductivity, Japanese Journal of Applied Physics, 60 (8) (2021), 1-23.

190)  K. Kavitha, V. VIJAYAKUMAR, Anurag Shukla, Kottakkaran Sooppy Nisar and R. Udhayakumar, Results on approximate controllability of Sobolev fractional neutral differential inclusions of Clarke subdifferential type, Chaos, Solitons and Fractals, 151 (2021), 1-8. 111264.

191)  C. Dineshkumar, R. Udhayakumar, V. VIJAYAKUMAR, Kottakkaran Sooppy Nisar and Anurag Shukla, A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 1 < r < 2, Mathematics and Computers in Simulation, 190 (2021), 1003-1026.

192)  Wasim Jamshed, Kottakkaran Sooppy Nisar, Rabha W. Ibrahim, Tayyaba Mukhtar,  V. VIJAYAKUMAR and Fahad Ahmad, Computational frame work of Cattaneo-Christov heat flux effects on Engine Oil based Williamson hybrid nanofluids: A thermal case study, Case Studies in Thermal Engineering, 26 (2021), 1-22. 101179.

193)  Kottakkaran Sooppy Nisar and V. VIJAYAKUMAR, Results concerning to approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral delay differential system, Mathematical Methods in the Applied Sciences, 44 (17) (2021), 13615-13632.

194)  Ajeet Singh, Anurag Shukla, V. VIJAYAKUMAR, and R. Udhayakumar, Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces, Chaos, Solitons and Fractals, 150 (2021), 1-9. 111095.

195)  Anupam Das, Bipan Hazarika, Sumati Kumari Panda and V. VIJAYAKUMAR, An existence result for an infinite system of implicit fractional integral equations via generalized Darbo’s fixed point theorem, Computational and Applied Mathematics, 40 (143) (2021), 1-15.

196)  M. Mohan Raja, V. VIJAYAKUMAR, Le Nhat Huynh, R. Udhayakumar and Kottakkaran Sooppy Nisar, Results on the approximate controllability of fractional hemivariational inequalities of order 1 < r < 2, Advances in Difference Equations, 2021 (237) (2021), 1-25.

197)  Gauhar Rahman, Kottakkaran Sooppy Nisrar, Sami Khan, Dumitru Baleanu and V. V. VIJAYAKUMAR, On the weighted fractional integral inequalities for Chebyshev functionals, Advances in Difference Equations, 2021 (18) (2021), 1-19.

198)  V. VIJAYAKUMAR, C Ravichandran, Kottakkaran Sooppy Nisar and Kishor D. Kucche, New discussion on approximate controllability results for fractional Sobolev type Volterra-Fredholm integro-differential systems of order 1 < r < 2, Numerical Methods for Partial Differential Equations, (2021), 1-24.

199)  C. Dineshkumar, R. Udhayakumar, V. VIJAYAKUMAR and Kottakkaran Sooppy Nisar, A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems, Chaos, Solitons and Fractals, 142 (2021), 1-12. 110472.

200)  V. VIJAYAKUMAR, Sumati Kumari Panda, Kottakkaran Sooppy Nisar and Haci Mehmet Baskonus, Results on approximate controllability results for second-order Sobolev-type impulsive neutral differential evolution inclusions with infinite delay, Numerical Methods for Partial Differential Equations, 37 (2) (2021), 1200-1221.

201)  W. Kavitha Williams, V. VIJAYAKUMAR, R. Udhayakumar and Kottakkaran Sooppy Nisar, A new study on existence and uniqueness of nonlocal fractional delay differential systems of order 1<r<2 in Banach spaces, Numerical Methods for Partial Differential Equations, 37 (2) (2021), 949-961.

202)  V. VIJAYAKUMAR and R. Udhayakumar, A new exploration on existence of Sobolev-type Hilfer fractional neutral integro-differential equations with infinite delay, Numerical Methods for Partial Differential Equations, 37 (1) (2021), 750-766.

203)  K. Kavitha, V. VIJAYAKUMAR, R. Udhayakumar, Kottakkaran Sooppy Nisar and N. Sakthivel, A note on approximate controllability of Hilfer fractional neutral differential inclusions with infinite delay, Mathematical Methods in the Applied Sciences, 44 (6) (2021), 4428-4447.

204)  K. Kavitha, V. VIJAYAKUMAR, R. Udhayakumar and Kottakkaran Sooppy Nisar, Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness, Mathematical Methods in the Applied Sciences, 44 (2) (2021), 1438-1455.

205)  V. VIJAYAKUMAR, R. Udhayakumar and C. Dineshkumar, Approximate controllability of second order nonlocal neutral differential evolution inclusions, IMA Journal of Mathematical Control and Information, 38 (1) (2021), 192-210.

206)  V. VIJAYAKUMAR, R. Udhayakumar and K. Kavitha, On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay, Evolution Equations and Control Theory, 10 (2) (2021), 271-396.

207)  M. Mohan Raja, V. VIJAYAKUMAR and R. Udhayakumar, A new approach on approximate controllability of fractional evolution inclusions of order 1 < r < 2 with infinite delay, Chaos, Solitons and Fractals, 141 (2020), 1-13. 110343.

208)  N. I. Mahmudov, R. Udhayakumar and V. VIJAYAKUMAR, On the approximate controllability of second-order evolution hemivariational inequalities, Results in Mathematics, 75 (160) (2020), 1-19.

209)  M. Mohan Raja, V. VIJAYAKUMAR, R. Udhayakumar and Yong Zhou, A new approach on the approximate controllability of fractional differential evolution equations of order 1 < r < 2 in Hilbert spaces, Chaos, Solitons and Fractals, 141 (2020), 1-10. 110310.

210)  M. Mohan Raja, V. VIJAYAKUMAR and R. Udhayakumar, Results on the existence and controllability of fractional integro-differential system of order 1 < r < 2 via measure of noncompactness, Chaos, Solitons and Fractals, 139 (2020), 1-11. 110299.

211)  K. Kavitha, V. VIJAYAKUMAR and R. Udhayakumar, Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness, Chaos, Solitons and Fractals, 139 (2020), 1-12. 110035.

212)  V. VIJAYAKUMAR, and R. Udhayakumar, Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay, Chaos, Solitons and Fractals, 139 (2020), 1-11. 110019.

213)  V. VIJAYAKUMAR, R. Murugesu and M. Tamil Selvan, Controllability for a class of second order functional evolution differential equations without uniqueness, IMA Journal of Mathematical Control and Information, 36 (1) (2019), 225–246.

214)  V. VIJAYAKUMAR, Approximate controllability results for non-densely defined fractional neutral differential inclusions with Hille-Yosida operators, International Journal of Control, 92 (9) (2019), 2210-2222.

215)  V. VIJAYAKUMAR and R. Murugesu, Controllability for a class of second order evolution differential inclusions without compactness, Applicable Analysis, 98 (7) (2019), 1367-1385.

216)  V. VIJAYAKUMAR, Approximate controllability results for analytic resolvent integro-differential inclusions in Hilbert spaces, International Journal of Control, 91 (1) (2018), 204-214.

217)  V. VIJAYAKUMAR, Approximate controllability results for impulsive neutral differential inclusions of Sobolev-type with infinite delay, International Journal of Control, 91 (10) (2018), 2366-2386.

218)  V. VIJAYAKUMAR, Approximate controllability results for abstract neutral integro-differential inclusions with infinite delay in Hilbert spaces, IMA Journal of Mathematical Control and Information, 35 (1) (2018), 297-314.

219)  V. VIJAYAKUMAR, Approximate controllability for a class of second order stochastic evolution inclusions of Clarke’s subdifferential type, Results in Mathematics, 73 (42) (2018), 1-23.

220)  V. VIJAYAKUMAR and Hernán R Henríquez, Existence of global solutions for a class of abstract second order nonlocal Cauchy problem with impulsive conditions in Banach spaces, Numerical Functional Analysis and Optimization, (2018), 39 (6), 704-736.

221)  V. VIJAYAKUMAR, R. Murugesu , R. Poongodi and S. Dhanalakshmi, Controllability of second order impulsive nonlocal Cauchy problem via measure of noncompactness, Mediterranean Journal of Mathematics, 14 (1) (2017), 29-51.

222)  Yong Zhou, V. VIJAYAKUMAR, C. Ravichandran and R. Murugesu, Controllability results for fractional order neutral functional differential inclusions with infinite delay, Fixed Point Theory, 18 (2), 2017, 773-798.

223)  N. I. Mahmudov, R. Murugesu, C. Ravichandran and V. VIJAYAKUMAR, Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces, Results in Mathematics, 71 (1) (2017), 45-61.

224)  N. I. Mahmudov, V. VIJAYAKUMAR and R. Murugesu, Approximate controllability of second-order evolution differential inclusions in Hilbert spaces, Mediterranean Journal of Mathematics, 13 (5) (2016), 3433-3454.

225)  Yong Zhou, V. VIJAYAKUMAR and R. Murugesu, Controllability for fractional evolution inclusions without compactness, Evolution Equations and Control Theory, 4 (4) (2015), 507-524.

226)  V. VIJAYAKUMAR, C. Ravichandran, R. Murugesu and J. J. Trujillo, Controllability results for a class of fractional semilinear integro-differential inclusions via resolvent operators, Applied Mathematics and Computation , 247 (2014), 152-161.

227)  V. VIJAYAKUMAR, A. Selvakumar and R. Murugesu, Controllability for a class of fractional neutral integro-differential equations with unbounded delay,Applied Mathematics and Computation , 232 (2014), 303-312.

228)  V. VIJAYAKUMAR, C. Ravichandran and R. Murugesu, Existence of mild solutions for nonlocal Cauchy problem for fractional neutral evolution equations with infinite delay,Surveys in Mathematics and its Applications , 9 (2014), 117-129.

229)  V. VIJAYAKUMAR, C. Ravichandran and R. Murugesu, Approximate controllability for a class of fractional neutral integro-differential inclusions with state-dependent delay, Nonlinear Studies, 20(4) (2013), 513-532.

230)  Jose Paulo Carvalho Dos Santos, V. VIJAYAKUMAR and R. Murugesu, Existence of mild solutions for nonlocal Cauchy problem for fractional neutral integro-differential equation with unbounded delay, Communications in Mathematical Analysis, 14(1) (2013), 59-71.

231)  V. VIJAYAKUMAR, K. Alagiri Prakash and R. Murugesu, Global existence for Volterra-Fredholm type functional impulsive integrodifferential equations, The Journal of the Korean Society for Industrial and Applied Mathematics, 17(1) (2013), 17-28.

232)  V. VIJAYAKUMAR, K. Alagiri Prakash and R. Murugesu, Existence of global solutions for second order impulsive differential equations with nonlocal conditions, Nonlinear Studies, 20(3) (2013), 375-383.

233)  V. VIJAYAKUMAR, C. Ravichandran and R. Murugesu, Nonlocal controllability of mixed Volterra-Fredholm type fractional semilinear integro-differential inclusions in Banach spaces, Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 20 (4) (2013), 485-502.

234)  V. VIJAYAKUMAR, S. Sivasankaran and M. Mallika Arjunan, Global existence for Volterra-Fblueholm type neutral impulsive functional integrodifferential equations, Surveys in Mathematics and its Applications , 7 (2012), 49-68.

235)  V. VIJAYAKUMAR, S. Sivasankaran and M. Mallika Arjunan, Existence of solutions for second-order impulsive neutral functional integro-differential equations with infinite delay, Nonlinear Studies, 19(2) (2012), 327-343.

236)  V. VIJAYAKUMAR, S. Sivasankaran and M. Mallika Arjunan, Existence of solutions for double perturbed impulsive neutral f5nctional evolution equations,The Journal of the Korean Society for Industrial and Applied Mathematics , 15(4) (2011), 253-265.

237)  V. VIJAYAKUMAR, S. Sivasankaran and M. Mallika Arjunan, Existence of global solutions for second order impulsive abstract functional integrodifferential equations,Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis , 18 (2011), 747-766.

238)  S. Sivasankaran, M. Mallika Arjunan and V. VIJAYAKUMAR, Existence of global solutions for second order impulsive abstract partial differential equations, Nonlinear Analysis: Theory, Methods and Applications, 74 (2011) 6747-6757.

239)  S. Sivasankaran, V. VIJAYAKUMAR and M. Mallika Arjunan, Existence of global solutions for impulsive abstract partial neutral functional differential equations, International Journal of Nonlinear Science, 11(4) (2011), 412-426.

240)  S. Sivasankaran, M. Mallika Arjunan and V. VIJAYAKUMAR, Existence of global solutions for impulsive functional differential equations with nonlocal conditions, The Journal of Nonlinear Sciences and Applications, 4(2) (2011), 102-114.