Publications

Papers in Referred Journals:

1. A. Shukla, N. Sukavanam and D. N. Pandey, Approximate controllability of semilinear system with state delay using sequence method, J. Franklin Inst. 352 (2015), no. 11, 5380-5392. MR3416770 (Elsevier, SCI, IF 4.504).

2. Anurag Shukla, N. Sukavanam and D. N. Pandey, Approximate Controllability of Semilinear Fractional Control Systems of Order (1; 2] with Infinite Delay, Mediterr. J. Math. 13 (2016), no. 5, 2539-2550. MR3554260 (Springer, SCI, IF 1.4).

3. A. Shukla et al., Approximate Controllability of Second-Order Semilinear Control System, Circuits Systems Signal Process. 35 (2016), no. 9, 3339-3354. MR3529759 (Springer, SCI, IF 2.225)

4. A.Shukla et al., Approximate Controllability of Fractional Semilinear Stochastic System of Order (1; 2], Journal of Dynamical and Control Systems, Springer DOI:10.1007/s10883-016-9350-7 (Springer, SCI, IF 1.425).

5. Anurag Shukla, N. Sukavanam and D.N.Pandey, Controllability of semilinear stochastic control system with finite delay, IMA J Math Control Info (2016) doi: 10.1093/imamci/dnw059 (Oxford University Press, SCI, IF 1.55).

6. Anurag Shukla, U. Arora and N. Sukavanam, Approximate controllability of retarded semilinear stochastic system with non local conditions, J. Appl. Math. Comput. 49 (2015), no. 1-2, 513-527. MR3393792 (Springer, SCI, IF 1.686).

7. Anurag Shukla, Rohit Patel, Controllability results for fractional semilinear delay control systems. J. Appl. Math. Comput. (2020). https://doi.org/10.1007/s12190-020-01418-4 (Springer, SCI, IF 1.686).

8. Rohit Patel, Anurag Shukla, SS Jadon, Existence and optimal control problem for semilinear fractional order (1,2] control system. Math Meth Appl Sci. 2020; 1- 12. https://doi.org/10.1002/mma.6662 (Wiley, SCI, IF 2.32)

9. Anurag Shukla, N. Sukavanam and D. N. Pandey, Approximate controllability of second order semilinear stochastic system with nonlocal conditions, Ann. Univ. Ferrara Sez. VII Sci. Mat.61 (2015), no. 2, 355-366. MR3421710 (Springer)

10. Anurag Shukla, N. Sukavanam and D.N.Pandey, Approximate Controllability of Semilinear Stochastic Control System with Nonlocal Conditions, Nonlinear Dynamics and Systems Theory 15 (2015), no. 3, 321-333.

11. Anurag Shukla, N. Sukavanam and D.N.Pandey, Complete Controllability of Semilinear Stochastic Systems with delay, Rendiconti del Circolo Matematico di Palermo DOI.10.1007/s12215-015-0191-0 (Springer, ESCI).

12. Anurag Shukla, N. Sukavanam and D.N.Pandey, Complete Controllability of Semilinear Stochastic Systems with delay in both state and control, Mathematical Reports 18(68), 2 (2016),247-259. (Editura Academiei Romane ,SCI, IF 0.662)

13. Anurag Shukla, N. Sukavanam and D.N.Pandey, Approximate Controllability of Fractional Semilinear Control System of Order (1; 2] in Hilbert Spaces, Nonlinear Studies 22(1),131-138, 2015 (Cambridge Scientific)

14. Anurag Shukla, N. Sukavanam and D.N.Pandey, Approximate controllability of semilinear fractional stochastic control system. Asian-European Journal of Mathematics 11, no. 06(2018): 1850088 (World Scientific, ESCI).

15. Anurag Shukla, N. Sukavanam and D.N.Pandey, Approximate controllability of semilinear stochastic system with multiple delays in control. Cogent Mathematics and Statistics 3, no.1 (2016): 1234183 (Taylor and Francis, ESCI)

16. A. Shukla, R. Patel,. Existence and Optimal Control Results for Second-Order Semilinear System in Hilbert Spaces. Circuits Syst Signal Process (2021). https://doi.org/10.1007/s00034-021-01680-2 (Springer, SCI, IF 2.225).

17. Ajeet Singh, Anurag Shukla, Existence results for second-order semilinear stochastic delay differential equation. Math Meth Appl Sci. 2021; 1– 9. https://doi.org/10.1002/mma.7463 (Wiley, SCI, IF 2.32 ).

18. Ajeet Singh, Anurag Shukla, V. Vijayakumar, and R. Udhayakumar, 2021. Asymptotic stability of fractional order (1, 2] stochastic delay differential equations in Banach spaces. Chaos, Solitons & Fractals, 150, p.111095 (Elsevier, SCI, IF 5.94).

19. C. Dineshkumar, R Udhayakumar, V Vijayakumar, K S Nisar, Anurag Shukla. A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 1<r<2 accepted for publication in Mathematics and Computers in Simulation (Elsevier, SCI, IF 2.463).

20. Wasim Jamshed, Mohamed R Eid, Nor Ain Azeany Mohd Nasir, Kottakkaran Sooppy Nisar, Asim Aziz, Faisal Shahzad, C Ahamed Saleel, Anurag Shukla. Thermal examination of renewable solar energy in parabolic trough solar collector utilizing Maxwell nanofluid: A noble case study, Case Studies in Thermal Engineering, Volume 27, 2021, 101258, (Elsevier, SCI, IF 4.724).

21. K Kavitha, V Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, R Udhayakumar. Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type, Chaos, Solitons & Fractals, Volume 151, 2021, 111264 (Elsevier, SCI, IF 5.94).

22. Sachin Kumar Verma, Ramesh Kumar Vats, Avadhesh Kumar, Velusamy Vijayakumar, Anurag Shukla. 2022. A discussion on the existence and uniqueness analysis for the coupled two-term fractional differential equations. Turkish Journal of Mathematics, 46(SI-1), pp.516-532. (SCI, IF 0.81).

23. Rohit Patel, Anurag Shukla, Shimpi Singh Jadon, R Udhayakumar. A novel increment approach for optimal control problem of fractional-order (1, 2] nonlinear systems. Math Meth Appl Sci. 2021; 1- 10. https://doi.org/10.1002/mma.7681 (Wiley, SCI, IF 2.32).

24. Rohit Patel, Anurag Shukla, Shimpi Singh Jadon. Optimal control problem for fractional stochastic nonlocal semilinear system, FILOMAT 36(4), 1-12. (SCI, IF 0.848).

25. Kamalendra Kumar, Rohit Patel, V Vijayakumar, Anurag Shukla, C Ravichandran. A discussion on boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations, Mathematical Methods in the Applied Sciences 2022; 1- 23. doi:10.1002/mma.8117. (Wiley, SCI, IF 2.31).

26. Anurag Shukla, V. Vijayakumar, 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 & Fractals, 2021, 111615. (Elsevier, SCI, IF 5.94).

27. C. Dineshkumar, R. Udhayakumar, V. Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order r∈(1,2) with delay, Chaos, Solitons & Fractals, Volume 153, Part 1, 2021, 111565. (Elsevier, SCI, IF 5.94).

28. V Vijayakumar, Bipan Hazarika, K S Nisar, Anurag Shukla, 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- 19. doi:10.1002/mma.8142. (Wiley, SCI, IF 2.31).

29. V. Vijayakumar, Anurag Shukla, Nisar, K.S. et al. A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators. Adv Differ Equ 2021, 484 (2021). (Springer, SCI, IF 2.803).

30. Tanveer Sajid, Wasim Jamshed, Faisal Shahzad, MA Aiyashi, Mohamed R Eid, Kottakkaran Sooppy Nisar, Anurag Shukla; Impact of Maxwell velocity slip and Smoluchowski temperature slip on CNTs with modified Fourier theory: Reiner-Philippoff model; https://doi.org/10.1371/journal.pone.0258367. (PLoS, SCI, IF 3.24).

31. Mohan Raja, M., Vijayakumar, V., Anurag Shukla, et al. New discussion on nonlocal controllability for fractional evolution system of order 1<r<2. Adv Differ Equ 2021, 481 (2021). (Springer, SCI, IF 2.803).

32. Urvashi Arora, Vijayakumar, V., Anurag Shukla, et al. Results on exact controllability of second-order semilinear control system in Hilbert spaces. Adv Differ Equ 2021, 455 (2021). (Springer, SCI, IF 2.803).

33. K. Kavitha, Nisar, K.S., Anurag Shukla, et al. A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems. Adv Differ Equ 2021, 467 (2021). (Springer, SCI, IF 2.803).

34. Rezapour, Shahram, Hernán R. Henríquez, Velusamy Vijayakumar, Kottakkaran S. Nisar, and Anurag Shukla. 2021. "A Note on Existence of Mild Solutions for Second-Order Neutral Integro-Differential Evolution Equations with State-Dependent Delay" Fractal and Fractional 5, no. 3: 126. https://doi.org/10.3390/fractalfract5030126 (SCI, IF 3.313).

35. M Mohan Raja, V Vijayakumar, Anurag Shukla, K S Nisar, N Sakthivel, 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, 2022; 1- 24. doi:10.1002/oca.2867, Wiley. (SCI, IF 2.53).

36. Yong-Ki Ma, K. Kavitha, Wedad Albalawi, Anurag Shukla, Kottakkaran Sooppy Nisar, V. Vijayakumar, An analysis on the approximate controllability of Hilfer fractional neutral differential systems in Hilbert spaces, Alexandria Engineering Journal, 2022, https://doi.org/10.1016/j.aej.2021.12.067. (Elsevier, SCI, IF 3.732).

37. Divya Ahluwalia, N. Sukavanam & Anurag Shukla | Lishan Liu (Reviewing Editor) (2016) On the approximate controllability of semilinear control systems, Cogent Mathematics, 3:1, DOI: 10.1080/23311835.2016.1266773 (Taylor and Francis, ESCI).

38. Vijayakumar, Velusamy, Kottakkaran S. Nisar, Dimplekumar Chalishajar, Anurag Shukla, Muslim Malik, Ateq Alsaadi, and Saud F. Aldosary. 2022. "A Note on Approximate Controllability of Fractional Semilinear Integrodifferential Control Systems via Resolvent Operators" Fractal and Fractional 6, no. 2: 73. https://doi.org/10.3390/ (SCI, IF 3.313).

39. Dineshkumar, C., Udhayakumar, R., Vijayakumar, V., Nisar, K.S. and Shukla, A., 2022. A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay. Chaos, Solitons & Fractals, 157, p.111916. (SCI, IF 5.94)

40. Ma, Y.K., Kumar, K., Kumar, R., Patel, R., Shukla, A. and Vijayakumar, V., 2022. Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems. AIMS Mathematics, 7(5), pp.7642-7656. (SCI, IF 1.4).

41. Patel, R., Shukla, A., Nieto, J.J., Vijayakumar, V. and Jadon, S.S., 2022. New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces. Nonlinear Analysis: Modelling and Control, 27, pp.1-17. (SCI, IF 3.25).

42. Ma, Y.K., Raja, M.M., Nisar, K.S., Shukla, A. and Vijayakumar, V., 2022. Results on controllability for Sobolev type fractional differential equations of order 1< r< 2 with finite delay. AIMS Mathematics, 7(6), pp.10215-10233. (SCI, IF 2.7).

43. Ma, Y.K., Kumar, K., Patel, R., Shukla, A., Nisar, K.S. and Vijayakumar, V., 2022. An investigation on boundary controllability for Sobolev-type neutral evolution equations of fractional order in Banach space. AIMS Mathematics, 7(7), pp.11687-11707. (SCI, IF 2.7).

44. Ma, Y.K., Raja, M.M., Vijayakumar, V., Shukla, A., Albalawi, W. and Nisar, K.S., 2022. Existence and continuous dependence results for fractional evolution integrodifferential equations of order r∈(1, 2). Alexandria Engineering Journal, 61(12), pp.9929-9939. (SCI, IF 3.732).

45. Gautam, P, Shukla, A, Patel, R. Results on impulsive semilinear differential equations with control functions. Math Meth Appl Sci. 2022; 1- 10. doi:10.1002/mma.8363 (SCI, IF 3.1)

46. Kavitha, K., Vijayakumar, V., Nisar, K.S., Shukla, A., Albalawi, W. and Abdel-Aty, A.H., 2022. Existence and controllability of Hilfer fractional neutral differential equations with time delay via sequence method. AIMS Mathematics, 7(7), pp.12760-12780. (SCI, IF 2.7)

47. Singh, A., Vijayakumar, V., Shukla, A. and Chauhan, S., 2022. A Note on Asymptotic Stability of Semilinear Thermoelastic System. Qualitative Theory of Dynamical Systems, 21(3), pp.1-9. (SCI, IF 0.93)

48. Patel, R., Vijayakumar, V., Nieto, J.J., Jadon, S.S. and Shukla, A., 2022. A note on the existence and optimal control for mixed Volterra–Fredholm‐type integrodifferential dispersion system of third order. Asian Journal of Control. (SCI, IF 2.444)

49. Singh, A. and Shukla, A., Approximate controllability of the semilinear population dynamics system with diffusion. Mathematical Methods in the Applied Sciences. (SCI, IF 3.1)

50. Dineshkumar, C., Udhayakumar, R., Vijayakumar, V., Nisar, K.S., Shukla, A., Abdel-Aty, A.H., Mahmoud, M. and Mahmoud, E.E., 2022. A note on existence and approximate controllability outcomes of Atangana-Baleanu neutral fractional stochastic hemivariational inequality. Results in Physics, p.105647. (SCI, IF 4.56)

51. Gautam, P., Shukla, A. and Patel, R., 2022. Results on impulsive semilinear differential equations with control functions. Mathematical Methods in the Applied Sciences. (SCI, IF 3.1)

52. Raja, M.M., Vijayakumar, V., Shukla, A., Nisar, K.S. and Baskonus, H.M., 2022. On the approximate controllability results for fractional integrodifferential systems of order 1< r< 2 with sectorial operators. Journal of Computational and Applied Mathematics, p.114492. (SCI, IF 2.872)

53. Ma, Y.K., Williams, W.K., Vijayakumar, V., Nisar, K.S. and Shukla, A., 2022. Results on Atangana-Baleanu fractional semilinear neutral delay integro-differential systems in Banach space. Journal of King Saud University-Science, 34(6), p.102158. (SCI, IF 3.829)

54. Shukla, A., Vijayakumar, V., Nisar, K.S., Singh, A.K., Udhayakumar, R., Botmart, T., Albalawi, W. and Mahmoud, M., 2022. An analysis on approximate controllability of semilinear control systems with impulsive effects. Alexandria Engineering Journal, 61(12), pp.12293-12299. (SCI, IF 6.6)

55. Raja, M.M., Vijayakumar, V., Shukla, A., Nisar, K.S. and Rezapour, S., 2022. Investigating existence results for fractional evolution inclusions with order r∈(1, 2) in Banach space. International Journal of Nonlinear Sciences and Numerical Simulation. (SCI, IF 2.156)

57. Ma, Y.K., Dineshkumar, C., Vijayakumar, V., Udhayakumar, R., Shukla, A. and Nisar, K.S., 2022. Approximate controllability of Atangana-Baleanu fractional neutral delay integrodifferential stochastic systems with nonlocal conditions☆. Ain Shams Engineering Journal, p.101882. (SCI, IF 4.79)

58. Arora, U., Vijayakumar, V., Shukla, A., Sajid, M. and Nisar, K.S., 2022. A discussion on controllability of nonlocal fractional semilinear equations of order 1< r< 2 with monotonic nonlinearity. Journal of King Saud University-Science, 34(8), p.102295. (SCI, IF 3.829)

59. Dineshkumar, C., Vijayakumar, V., Udhayakumar, R., Shukla, A. and Nisar, K.S., 2022. Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1< r< 2. International Journal of Nonlinear Sciences and Numerical Simulation. (SCI, IF 2.156)

60. Johnson, M., Vijayakumar, V., Nisar, K.S., Shukla, A., Botmart, T. and Ganesh, V., 2023. Results on the approximate controllability of Atangana-Baleanu fractional stochastic delay integrodifferential systems. Alexandria Engineering Journal, 62, pp.211-222. (SCI, IF 6.6)

61. Ma, Y.K., Vijayakumar, V., Shukla, A., Nisar, K.S., Thilagavathi, K., Nashine, H.K., Singh, A.K. and Zakarya, M., 2022. Discussion on the existence of mild solution for fractional derivative by Mittag–Leffler kernel to fractional stochastic neutral differential inclusions. Alexandria Engineering Journal. (SCI, IF 6.6)

62. Dineshkumar, C., Udhayakumar, R., Vijayakumar, V., Shukla, A. and Nisar, K.S., 2022. New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order r∈(1, 2). Communications in Nonlinear Science and Numerical Simulation, p.106891. (SCI, IF 4.186)

Papers published in Conferences:

1. Anurag Shukla, N. Sukavanam and D.N.Pandey, Approximate Controllability of Semilinear Fractional Control Systems of Order (1; 2], SIAM Proceedings DOI:http://dx.doi.org/10.1137/1.9781611974072.25.

2. Anurag Shukla, N. Sukavanam and D.N.Pandey, Controllability of Semilinear Stochastic System with Multiple Delays in Control, IFAC proceedings volumes, Vol. 47, issue 1, 2014, 306-312.

3. Anurag Shukla, N. Sukavanam and D.N.Pandey, Approximate Controllability of Semilinear Stochastic System with State Delay, A book chapter in Mathematical Analysis and Its Applications (Springer), ISBN 978-81-322-2485-3

4. Anurag Shukla, N. Sukavanam and D.N.Pandey, 2015, September. Complete controllability of impulsive semilinear stochastic retarded system. In 2015 International Conference on Signal Processing, Computing and Control (ISPCC) (pp. 7-12). IEEE.

5. A. Shukla, N Sukavanam and D.N.Pandey, Approximate Controllability of semilinear integrodifferential equations, SIAM PD 15, Arizona USA

6. Rohit Patel, Anurag Shukla, D.N. Pandey, Simpi Jadon, 2021. Results on Optimal Control for Abstract Semilinear Second-Order Systems. In 2021 Proceedings of the Conference on Control and its Applications (pp. 55-61). Society for Industrial and Applied Mathematics.