Teaching/Research Experience

Assistant Professor [2018 - till date]

Post Doctoral Fellow(NBHM) [2015 - 2018]

• Research on Mathematical Theory of Fractioanl-Order Control Systems with Dr. Raju K George, Outstanding Professor, Dept. of Mathematics.

Guest Lecturer [2014 - 2015] 

• Taught courses on Mathematical Methods, Distribution Theory, Numerical Methods, Matlab and Latex.

 Academic Qualifications

Ph.D. Mathematics [2012 - 2014]

Thesis Title : Studies on Observability, Controllability and Stability of Fractional Dynamical Systems.

Thesis Advisor : Dr. K. Balachandran, Professor and Head, Department of Mathematics.

Area of Research : Control Theory and Fractional Calculus.

M.Phil. Mathematics [2010 - 2011]

Dissertation Title : Observability, Controllability and Stability of Fractional Dynamical Systems.

M.Sc. Mathematics [2008 - 2010]

Dissertation Title : The Riemann-Liouville Fractional Integrals and Derivatives.

B.Sc. Mathematics [2005 - 2008]

Awards

2025 - Recipient of the Young Scientist Award from The Academy of Sciences, Chennai for the year 2025.

2024 - Guest Editor - "Theory, Applications, and Numerics of Fractional-Order Dynamical Systems", Fractals, 33 (2025).

2024 - Recipient of NIT - Puducherry's Research Recognition Award for the year 2024.

2023 - Recipient of NIT - Puducherry's Best Performer Award for the year 2022 - 2023.

2022 - Recipient of NIT - Puducherry's Best Performer Award for the year 2021 - 2022.

2019 - Science Academies' Summer Research Fellowship.

2018 - Awarded Open Arms travel grant to attend ICM 2018.

2015 - Qualified CSIR-UGC NET Examination (Lectureship).

2015 - NBHM Post Doctoral Fellowship, Department of Atomic Energy, National Board of Higher Mathematics, Mumbai.

2014 - Reviewer - Mathematical Reviews, USA.

2013 - Basic Scientific Research Fellowship, UGC, New Delhi.

Research Supervision

Ph.D. Supervised

COMPLETED: 5

• Dr. Poovarasan R (MA21D1003) - Study on Fractional Boundary Value Problems 

  • Ph.D. Viva - Voce Completed on 16th September 2025

  • Currently working as a Post-Doctoral Fellow at Daegu University, South Korea.

• Dr. Sivalingam S M (MA22D1003) - A Bidirectional Study of Scientific Machine Learning and Dynamical Systems Under Uncertainty

  • Ph.D. Viva - Voce Completed on 21st August 2025

  • Currently working as a Post-Doctoral Fellow at the University of Paris Saclay, France.

• Dr. Panneer Selvam A (MA20D1001) - Studies on Controllability of Fractional Dynamical Systems with Delays in Control 

  • Ph.D. Viva - Voce Completed on 27th March 2025

  • Currently working as an Assistant Professor in the Department of Mathematics at Anna University College of Engineering, Villupuram Campus.

• Dr. Pushpendra Kumar (MA21D1001) - Qualitative and Quantitative Analysis of the Caputo-type Fractional Differential Equations 

  • Ph.D. Viva-Voce Completed on 26th September 2023

  • Currently working as a Post-Doctoral Fellow at the University of Johannesburg, South Africa.

• Dr. Vellappandi M (MA18D1003) - Optimal Control Study on Fractional Dynamical Systems 

  • Ph.D. Viva - Voce Completed on 17th February 2023

  • Currently working as a Post-Doctoral Fellow at Kyungpook National University, South Korea.

ONGOING: 10

• Vishnukumar K S (MA22D1001)  

• Ramya K (MA22D1004)  

• Gopinath R (MA23D1007)

• Indira Priyadharshini S (MA23D1008)

• Karthiga P (MA23D1009)

• Ramathas M (MA24D1002)

• Kailash B B (MA24D1003)

• Thorati Nagadevi (MA24D1004)

• Bharathkumar N (MA24D1006)

• Rajatharan T (MA25D1001)

Research Project

• Principal Investigator: V. Govindaraj

Co-Principal Investigator: Nil

Title: Models, Control, and Numerics of Fractional-Order Dynamical Systems 

Funding Agency: National Board for Higher Mathematics, Department of Atomic Energy 

Ref. No.:  02011/18/2023 NBHM(R.P)/R&D II/5952  

Duration: 3 Years (2023 - 2026) 

Amount: Rs. 17,30,900/-  

Publications

Affiliation with the National Institute of Technology Puducherry, Karaikal

114.  B.B. Kailash, and V. Govindaraj

Prescribed controllability of Prabhakar fractional dynamical systems

International Journal of Systems Science,  (2026), 1-16. [SCIE]

113. Twinkle Sanjay Desai, S.M. Sivalingam, and V. Govindaraj

Controllability of time-varying stochastic fractional dynamical systems with distributed delays in control

 Communications on Applied Mathematics and Computation,  (2025), 1-31. [SCOPUS] 

112. P. Karthiga, S.M. Sivalingam, V. Govindaraj, and H. Ahmad

Controllability analysis of fractional nonlinear dynamical systems using Ψ-Caputo derivatives and prescribed controls 

Journal of Taibah University for Science,  20 (2026), 2635196. [SCIE]

111.  B.B. Kailash, and V. Govindaraj

Controllability and stability of Prabhakar fractional dynamical systems with a control delay

Asian Journal of Control,  (2026), 1-16. [SCIE]

110. K.S. Vishnukumar, S.M. Sivalingam, V. Govindaraj, B. Uzuni, I. Ozsahin, H. Ahmad, and T. Radwan

Controllability of the time-varying fractional dynamical systems having multiple delays in control with Caputo fractional derivative 

Fractals, (2026) 2640002. [SCIE] 

109. K. Ramya, J. Kokila, and V. Govindaraj

Fractional Tikhonov approach for two-dimensional time fractional inverse diffusion equation

The Journal of Analysis,  (2026), 1-26. [Scopus]

108.  R. S. Shivasivapriyaa, S. Karthikeyan, V. Govindaraj, and D. Chalishajar

Trajectory controllability of semilinear dynamic systems on time scales

 Nonlinear Analysis: Modelling and Control, 31 (2026), 1-24. [SCIE]  

107. H. Ismail, S. Hariharan, L. Shangerganesh, V. Govindaraj, I. Ozsahin, D. U. Ozsahin, H. Ahmad

Stability analysis of a fractional prey–predator model with Holling type III functional response and disease in both populations

Network Modeling Analysis in Health Informatics and Bioinformatics, (2026) 15:20. [SCOPUS] 

106. P. Karthiga, S.M. Sivalingam, V. Govindaraj, and A. S. Hendy

Trajectory Controllability of Time-varying Fractional Dynamical Systems

Lobachevskii Journal of Mathematics, 46 (2025), 4857 - 4872. [SCOPUS] 

105. A. Panneer Selvam, V. Govindaraj, R. Alubady, and S. Etemad

An ​analysis of ​controllability ​criteria for higher-order Caputo​ fractional ​differential ​systems ​with ​state and ​control ​delays 

International Journal of Differential Equations,  (2025), 540872. [SCOPUS] 

104. K. S. Vishnukumar and  V. Govindaraj

Exploring controllability in tempered Ψ- Caputo fractional dynamical systems without delay and delays in control

International Journal of Dynamics and Control,  (2025), 13 (391). [SCOPUS] 

103.  R. S. Shivasivapriyaa, S. Karthikeyan, V. Govindaraj, and D. Chalishajar

 Trajectory controllability of second-order dynamic equations on time scales

Journal of Control and Decision,  (2025), 1-14. [SCOPUS]  

102.  R. Poovarasan, M.E. Samei and  V. Govindaraj

An analysis of nonlinear integro-differential equations with four-point nonlocal BVP using Ψ-Caputo fractional derivative

Boundary Value Problems, 130 (2025), 1-25. [SCIE]

101.  S.M. Sivalingam, V. Govindaraj and  S. Dubey

Constrained physics informed deep implicit neural network for ordinary and partial differential equations

 Mathematics and Computers in Simulation, 241 (2025), 104- 133. [SCIE] 

100.  S.M. Sivalingam, V. Govindaraj and  S. Dubey

An improved physics informed neural network with theory of functional connections for fractional differential equations

Engineering Analysis with Boundary Elements, 178 (2025), 106281. [SCIE] 

99. R. Poovarasan and V. Govindaraj

Advanced analysis of 𝜓 -Caputo fractional derivative in multiple-point boundary value problems

Zeitschrift für angewandte Mathematik und Physik,  76 (2025),  116. [SCIE]

98. S.M. Sivalingam, V. Govindaraj, J. Vanterler C. Sousa and A. S. Hendy

L1-predictor–corrector method for 𝜓 -Caputo type fractional differential equations

Computational and Applied Mathematics, 44 (2025), 252. [SCIE] 

97. S.M. Sivalingam  and V. Govindaraj 

Solution representation and a generalised physics-informed neural network for 𝜓 -Caputo-type fractional time-varying systems

Nonlinear Dynamics, 113 (2025), 19125-19157. [SCIE] 

96.  J. Vanterler C. Sousa, Kishor D. Kucche, V. Govindaraj and Leandro S. Tavares

Fractional Kirchhoff-type equations involving Neumann conditions

Discrete and Continuous Dynamical Systems - Series S,  18 (2025), 2319-2338. [SCIE]   

95. A. Panneer Selvam and V. Govindaraj

Investigation of controllability criteria for Caputo fractional dynamical systems with delays in both state and control 

Fractional Calculus and Applied Analysis,  28 (2025), 915-948. [SCI]

94. R. Poovarasan and V. Govindaraj

Existence of solutions for a coupled system of Ψ-Caputo fractional differential equations with integral boundary conditions

Mathematical Methods in the Applied Sciences,  48 (2025),  9456  - 9468. [SCI]

93. ​A. Zeb, P. Kumar, S.Djilali, V.S. Erturk and V. Govindaraj

Some ​novel ​analyses of the fractional-order COVID-19​ model ​using the ​Haar ​wavelets ​method

International Journal of Applied and Computational Mathematics, 11 (2025),  1-17. [SCOPUS]  

92. P. Karthiga, S.M. Sivalingam, and V. Govindaraj

Reachability of time-varying fractional dynamical systems with prescribed control 

Asian Journal of Control, 47 (2025), 2436-2447.  [SCIE]

91. K. S. Vishnukumar and  V. Govindaraj

Controllability of the generalized proportional fractional dynamical systems having delays in control 

Journal of Control and Decision,  (2024), 1-16. [SCOPUS] 

90.  A. Panneer Selvam, S.M. Sivalingam and V. Govindaraj 

New results about controllability and stability of Ψ-Caputo-type stochastic fractional integro-differential systems with control delay 

Physica Scripta,  100 (2025),  025233. [SCI] 

89. K. S. Vishnukumar, M. Matar,  V. Govindaraj and K. Balachandran

Controllability of proportional fractional dynamical systems

Discontinuity, Nonlinearity, and Complexity, 14 (2025), 325 - 336.  [SCOPUS]  

88.  R. Poovarasan, M.E. Samei and  V. Govindaraj

Analysis of existence, uniqueness, and stability for nonlinear fractional boundary value problems with novel integral boundary conditions

Journal of Applied Mathematics and Computing,  71 (2025), 3771-3802. [SCIE] 

87. S.M. Sivalingam  and V. Govindaraj

Neural fractional order differential equations

Expert Systems with Applications, 267(2025), 126041. [SCIE] 

86. P. Karthiga, S.M. Sivalingam, and V. Govindaraj

Controllability of time-varying fractional dynamical systems with prescribed control 

Mathematical Methods in the Applied Sciences,  48 (2025), 4365-4384. [SCIE]

85. A. Panneer Selvam and V. Govindaraj

Reachability of fractional dynamical systems with distributed delays in control using 𝜓 - Hilfer pseudo-fractional derivative

Discontinuity, Nonlinearity, and Complexity, 13 (2024), 609 - 620.  [SCOPUS]  

84.  R. S. Shivasivapriyaa, S. Karthikeyan, V. Govindaraj, and K. Balachandran

Controllability of Volterra integro-dynamic systems with prescribed controls on time scales

Journal of Control and Decision,  (2024), 1-16. [SCOPUS]  

83. S.M. Sivalingam, M. Vellappandi, V. Govindaraj, I. Alraddadi, F. Alsharif and H. Ahmad 

Controllability of time-varying fractional dynamical systems 

Journal of Taibah University for Science, 18  (2024), 2399378. [SCIE] 

82. S.M. Sivalingam  and V. Govindaraj

Physics informed neural network based scheme and its error analysis for ψ-Caputo type fractional differential equations 

Physica Scripta, 99  (2024), 096002. [SCI] 

81. R. Poovarasan,  T. Abdeljawad  and V. Govindaraj

Exploring existence, uniqueness, and stability in nonlinear fractional boundary value problems with three-point boundary conditions

Physica Scripta, 99 (2024), 085247. [SCI] 

80. R. Poovarasan, M.E. Samei and  V. Govindaraj

Study of three-point impulsive boundary value problems governed by  𝜓 - Caputo fractional derivative 

Journal of Applied Mathematics and Computing,  70  (2024), 3947 - 3983. [SCIE] 

79. A. Panneer Selvam and V. Govindaraj

Reachability of fractional dynamical systems with single delay in control using 𝜓 - Hilfer pseudo-fractional derivative 

Journal of Applied Nonlinear Dynamics,  13 (2024), 545 - 556. [SCOPUS]  

78. K.S. Vishnukumar, S.M. Sivalingam and V. Govindaraj

Controllability of time-varying fractional dynamical systems with distributed delays in control

Physica Scripta,  99 (2024), 065218. [SCI] 

77. S.M. Sivalingam, P. Kumar and V. Govindaraj

A Chebyshev neural network-based numerical scheme to solve distributed-order fractional differential equations

Computers & Mathematics with Applications, 164 (2024),  150-165. [SCI]

76. R. Poovarasan, J.F. Gómez-Aguilar and  V. Govindaraj

Investigating the existence, uniqueness, and stability of solutions in boundary value problem of fractional differential equations

Physica Scripta,  99 (2024), 055624. [SCI] 

75.  A. Panneer Selvam and V. Govindaraj

 Controllability results for 𝜓 - Caputo fractional differential systems with impulse efforts  

Qualitative Theory of Dynamical Systems,  23 (2024), 1-26. [SCIE]

74.  A. Panneer Selvam and V. Govindaraj

Analyzing observability of fractional dynamical systems employing 𝜓 - Caputo fractional derivative 

Contemporary Mathematics,  5 (2024), 1216-1231. [SCOPUS]

73. K.S. Vishnukumar, S.M. Sivalingam, H. Ahmad and V. Govindaraj

Controllability of the time-varying fractional dynamical systems with a single delay in control 

Nonlinear Dynamics,  112 (2024), 8281 - 8297. [SCIE]  

72. S.M. Sivalingam and V. Govindaraj

Observability of time-varying fractional dynamical systems with Caputo fractional derivative  

Mediterranean Journal of Mathematics, 21 (2024),  1-21. [SCIE]

71.  A. Panneer Selvam, V. Govindaraj and H. Ahmad

Examining reachability criteria for fractional dynamical systems with mixed delays in control utilizing 𝜓-Hilfer pseudo-fractional derivative

Chaos, Solitons and Fractals,  181 (2024), 114702. [SCI] 

70. S.M. Sivalingam, P. Kumar, V. Govindaraj,  R. A. Qahiti, W. Hamali and M. Z. Meetei 

An operational matrix approach with Vieta-Fibonacci polynomial for solving generalized Caputo fractal-fractional differential equations

Ain Shams Engineering Journal, 15 (2024),  102678. [SCIE]

69. K.S. Vishnukumar, M. Vellappandi and V. Govindaraj

Reachability of time-varying fractional dynamical systems with Riemann-Liouville fractional derivative 

Fractional Calculus and Applied Analysis, 27 (2024), 1328 - 1347. [SCIE] 

68.  A. Panneer Selvam and V. Govindaraj 

Examining reachability of fractional dynamical systems with delays in control utilizing ψ-Hilfer pseudo-fractional derivative

Physica Scripta,  99 (2024), 035225. [SCI] 

67. M. Vellappandi, J. Kokila and V. Govindaraj

 Optimal control on fractional enzyme kinetics with inhibitors 

Journal of Biological Systems, 32 (2024), 503 - 527. [SCIE]

66. S.M. Sivalingam, P. Kumar, H. Trinh and V. Govindaraj

A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations

Mathematics and Computers in Simulation, 220 (2024),  462 - 480. [SCI]

65. A. Panneer Selvam and V. Govindaraj

Investigation of controllability and stability of fractional dynamical systems with delay in control 

Mathematics and Computers in Simulation, 220 (2024),  89 - 104. [SCI]

64. P. Kumar,  S.M. Sivalingam and V. Govindaraj

Forecasting of HIV/AIDS in South Africa using 1990 to 2021 data: Novel integer- and fractional-order fittings

International Journal of Dynamics and Control, 12 (2024), 2247 - 2263. [SCOPUS]

63, V. Govindaraj, P. Kumar, and K. S. Nisar

An optimal control problem for dengue fever model using Caputo fractional derivatives 

Progress in Fractional Differentiation and Applications, 10 (2024), 1-15.  [SCOPUS]

62. A. Panneer Selvam and V. Govindaraj

Controllability of fractional dynamical systems having multiple delays in control with  ψ-Caputo fractional derivative

Mathematical Methods in the Applied Sciences, 47 (2024), 2177-2189. [SCIE]

61. S.M. Sivalingam and V. Govindaraj

A novel numerical approach for time-varying impulsive fractional differential equations using theory of functional connections and neural network 

Expert Systems with Applications, 258 (2024), 121750. [SCIE]

60.  S.M. Sivalingam, P. Kumar and V. Govindaraj

A novel optimization‑based physics‑informed neural network scheme for solving fractional differential equations 

Engineering with Computers, 40 (2024), 855 - 865.  [SCIE] 

59. R. Poovarasan, P. Kumar,  S.M. Sivalingam and V. Govindaraj

Some novel analyses of the Caputo-type singular three-point fractional boundary value problems

Journal of Analysis, 32 (2024), 637 - 658. [SCOPUS] 

58.  S.M. Sivalingam, P. Kumar and V. Govindaraj

A novel method to approximate fractional differential equations based on the theory of functional connections

Numerical Algorithms,  95 (2024),  527 - 549. [SCIE]

57. A. Panneer Selvam and V. Govindaraj 

Controllability of fractional dynamical systems with distributed delays in control using ψ-Caputo fractional derivative

Asian Journal of Control,  25 (2023), 4257 - 4267.  [SCIE]

56. R. Poovarasan, P. Kumar,  V. Govindaraj and M. Murillo-Arcila  

The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives

Boundary Value Problems, 75 (2023), 1-18. [SCIE]

55. P. Kumar,  M. Vellappandi,  Z. A. Khan, S.M. Sivalingam, A. Kaziboni and V. Govindaraj

A case study of monkeypox disease in the United States using mathematical modeling with real data

Mathematics and Computers in Simulation, 213 (2023),  444 - 465. [SCI]

54. V. Govindaraj and P. Suresh Kumar

Trajectory controllability of nonlinear fractional Langevin systems

International Journal of Nonlinear Sciences and Numerical Simulation, ​24 (2023), 1079 - 1093.  [SCIE]

53. S.M. Sivalingam, P. Kumar and V. Govindaraj

A neural networks-based numerical method for the generalized Caputo-type fractional differential equations

Mathematics and Computers in Simulation, 213 (2023), 302-323. [SCI]

52. S.M. Sivalingam, P. Kumar and V. Govindaraj

A novel numerical scheme for fractional differential equations using extreme learning machine

Physica A: Statistical Mechanics and its Applications, 622 (2023), 128887. [SCI]

51. R. Poovarasan, P. Kumar, K. S. Nisar and V. Govindaraj

The existence, uniqueness, and stability analyses of the generalized Caputo-type fractional boundary value problems

AIMS Mathematics, 8 (2023), 16757-16772.  [SCIE]

50. J. Vanterler C. Sousa,  M. Aurora P. Pulido,  V. Govindaraj and E. Capelas de Oliveira

 On the $\varepsilon$  - regular mild solution for fractional abstract integro - differential equations 

Soft Computing, 27 (2023), 15533 - 15548. [SCIE]   

49. J. Kokila, M. Vellappandi, D. Meghana and V. Govindaraj

 Optimal control study on Michaelis - Menten Kinetics - A fractional version

     Mathematics and Computers in Simulation, 210 (2023), 571 - 592. [SCI]

48. P. Kumar, V.S. Erturk, V. Govindaraj and D. Baleanu

 A study on the nonlinear Caputo-type snakebite envenoming model with memory

     Computer Modeling in Engineering & Sciences, 136 (2023), 2487 - 2506. [SCI]

47. P. Kumar, V.S. Erturk, M. Murillo-Arcila and V. Govindaraj

 A new form of L1-Predictor-Corrector scheme to solve multiple delay-type fractional order systems with the example of a neural network model 

     Fractals, 31 (2023), 2340043. [SCI]

46. A. Panneer Selvam, M. Vellappandi and V. Govindaraj 

Controllability of fractional dynamical systems with ψ-Caputo fractional derivative

Physica Scripta, 98 (2023), 025206. [SCI] 

45. M. Vellappandi and  V. Govindaraj

Operator theoretic approach to optimal control problems characterized by the Caputo fractional differential equations

Results in Control and Optimization, 10 (2023), 100194.  [SCOPUS]

44. S.M. Sivalingam, P. Kumar and V. Govindaraj

The hybrid average subtraction and standard deviation based optimizer

 Advances in Engineering Software, 176 (2023), 103387. [SCIE]  

43. M. Vellappandi and V. Govindaraj

 Operator theoretic approach in fractional-order delay optimal control problems

Mathematical Methods in the Applied Sciences, 46 (2023), 6529 - 6544. [SCIE]

42. M. Vellappandi, P. Kumar and V. Govindaraj

Role of fractional derivatives in the mathematical modeling of the transmission of Chlamydia in the United States from 1989 to 2019 

Nonlinear Dynamics, 111 (2023), 4915–4929. [SCI]

41. P. Kumar, V. Govindaraj, V.S. Erturk, K.S. Nisar and M. Inc

 Fractional mathematical modeling of the Stuxnet virus along with an optimal control problem

 Ain Shams Engineering Journal, 14 (2023), 102004 [SCIE]

40.  M. Vellappandi, P. Kumar and V. Govindaraj 

  A case study of 2019-nCoV in Russia using integer and fractional order derivatives

Mathematical Methods in the Applied Sciences,  46 (2023), 12258 - 12272. [SCIE]

39. A.E. Owoyemi, I.M. Sulaiman, P. Kumar, V. Govindaraj and M. Mamat 

 Some novel mathematical analysis on the fractional-order 2019-nCoV dynamical model 

Mathematical Methods in the Applied Sciences, 46 (2023), 4466 - 4474. [SCIE]

38. A. Panneer Selvam and V. Govindaraj

Reachability of fractional dynamical systems with multiple delays in control using ψ-Hilfer pseudo-fractional derivative

Journal of Mathematical Physics, 63 (2022), 102706. [SCI]

37. Z. Bekri, V.S. Erturk, P. Kumar and V. Govindaraj

 Some novel analyses of two different Caputo-type fractional-order boundary value problems

Results in Nonlinear Analysis, 5 (2022), 299-311. [SCOPUS]

36. P. Kumar, V. Govindaraj and V.S. Erturk 

 A novel mathematical model to describe the transmission dynamics of tooth cavity in the human population

Chaos, Solitons & Fractals, 161 (2022), 112370. [SCI]

35. P. Kumar, V. Govindaraj, V.S. Erturk and M.H. Abdellattif​ 

A study on the dynamics of alkali–silica chemical reaction by using Caputo fractional derivative

​Pramana, 96 (2022), Article Number: 128​. [SCI]

34. M. Vellappandi, P. Kumar and V. Govindaraj 

Role of vaccination, the release of competitor snails, chlorination of water, and treatment controls on the transmission of bovine schistosomiasis disease: a mathematical study

Physica Scripta, 97 (2022), 074006. [SCI]

33. V. Govindaraj, S. Priyadharsini, P. Suresh Kumar and K. Balachandran 

Asymptotic Stability of Fractional Langevin Systems

Journal of Applied Nonlinear Dynamics, 11 (2022), 635-650. [SCOPUS]

32. Z. Odibat, V.S. Erturk, P. Kumar, A. B. Makhlouf and V. Govindaraj 

An Implementation of the Generalized Differential Transform Scheme for Simulating Impulsive Fractional Differential Equations

Mathematical Problems in Engineering, (2022), Article ID 8280203, 11 pages.  [SCIE]

31. M. Vellappandi and V. Govindaraj 

Observability, reachability, trajectory reachability and optimal reachability of fractional dynamical systems using R-L fractional derivative

Book Chapter in:  Fixed Point Theory and Fractional Calculus: Recent Advances and Applications, Springer,  2022, 245-260.  [SCOPUS]

30. P. Kumar, V.S. Erturk, V. Govindaraj, M. Inc, H. Abboubakar and K.S. Nisar 

  Dynamics of Covid-19 epidemic via two different fractional derivatives

  International Journal of Modeling, Simulation, and Scientific Computing, (2022), 2250021.  [SCOPUS]

29. V.S. Erturk, A. Ahmadkhanlu,  P. Kumar  and  V. Govindaraj 

Some novel mathematical analysis on a corneal shape model by using Caputo fractional derivative

Optik, 261 (2022), 169086. [SCI]

​ 

28. P. Kumar, V. Govindaraj​, V.S. Erturk and M. S. Mohamed     

  Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical model

Advances in Continuous and Discrete Models, 31 (2022), 1 -19. [SCIE]

27. P. Kumar, V.S. Erturk, M. Vellappandi, H. Trinh and  V. Govindaraj 

  A study on the maize streak virus epidemic model by using optimized linearization-based predictor-corrector method in Caputo sense

     Chaos, Solitons & Fractals, 158 (2022), 112067. [SCI]

26. P. Kumar, V. Govindaraj and Z.A. Khan 

  Some novel mathematical results on the existence and uniqueness of generalized Caputo-type initial value problems with delay

    AIMS Mathematics, 7 (2022), 10483-10494.  [SCIE]

25. M. Vellappandi, V. Govindaraj and J.V.C. Sousa

  Fractional optimal reachability problems with ψ-Hilfer fractional derivative

 Mathematical Methods in the Applied Sciences, 45 (2022), 6255 - 6267. [SCIE]

24. M. Vellappandi, P. Kumar, V. Govindaraj and W. Albalawi  

  An optimal control problem for mosaic disease via Caputo fractional derivative

 Alexandria Engineering Journal, 61 (2022), 8027-8037.  [SCIE]

23. ​P. Kumar, D. Baleanu, V.S. Erturk, M. Inc and V. Govindaraj​   

  A delayed plant disease model with Caputo fractional derivatives

 Advances in Continuous and Discrete Models, 11 (2022), 1 -22. [SCIE]

22. P. Kumar, V.S. Erturk, V. Govindaraj and S. Kumar   

  A fractional mathematical modeling of protectant and curative fungicide application

 Chaos, Solitons & Fractals: X, 8 (2022), 100071. [SCOPUS]

21. A. Manickam, P. Kumar, K. Dasunaidu, V. Govindaraj and D.K. Joshi

  A stochastic SIR model for analysis of testosterone suppression of CRH-stimulated cortisol in men

  International Journal of Modeling, Simulation, and Scientific Computing,  13 (2022), 2250021.  [SCOPUS]

20. Z. Odibat, V.S. Erturk, P. Kumar and V. Govindaraj

  Dynamics of generalized Caputo type delay fractional differential equations using a modified Predictor- Corrector scheme

  Physica Scripta, 96 (2021), 125213. [SCI]

19. J.V.C. Sousa, M. Vellappandi, V. Govindaraj and G.S.F. Frederico

 Reachability of fractional dynamical systems using  ψ-Hilfer Pseudo-fractional derivative

 Journal of Mathematical Physics, 62 (2021), 082703. [SCI]

18. P. Kumar, V.S. Erturk, R. Banerjee, M. Yavuz and V. Govindaraj

Fractional modeling of plankton-oxygen dynamics under climate change by the application of a recent numerical algorithm

Physica Scripta, 96 (2021), 124044. [SCI]

17. P. S. Kumar, V. Govindaraj, K. Balachandran and N. Annapoorani

Controllability of nonlinear fractional Langevin Systems

Discontinuity, Nonlinearity and Complexity, 8 (2019), 89-99. [SCOPUS]

16. V. Govindaraj and Raju K. George

Trajectory controllability of fractional integro-differential systems in Hilbert spaces

Asian Journal of Control, 26 (2018), 1994-2004.  [SCIE]

15. S. Priyadharsini and V. Govindaraj

Asymptotic stability of Caputo fractional singular differential system with multiple delays

Discontinuity, Nonlinearity and Complexity, 7 (2018), 243-251. [SCOPUS]

Affiliation with the Indian Institute of Space Science and Technology, Thiruvananthapuram

14. M. Vijayakumar, V. Govindaraj and Raju K. George

Controllability of fractional order semilinear systems with a delay in control

Indian Journal of Mathematics, 60 (2018), 311-335. [SCOPUS]

13. V. Govindaraj, K. Balachandran and Raju K. George

Numerical approach for the controllability of composite fractional dynamical Systems

Journal of Applied Nonlinear Dynamics, 7 (2018), 59-72. [SCOPUS]

12. V. Govindaraj and Raju K. George

Functional approach to observability and controllability of linear fractional dynamical systems

Journal of Dynamical Systems and Geometric Theories, 15 (2017), 111-129. 

11. V. Govindaraj and Raju K. George

Controllability of fractional dynamical systems: A functional analytic approach

Mathematical Control and Related Fields, 7 (2017), 537-562. [SCIE]

10. V. Govindaraj and Raju K. George

Controllability of iterative fractional integro-differential systems in Banach spaces

Indian Journal of Mathematics, 59 (2017), 161-187. [SCOPUS]

9.  V. Govindaraj, M. Malik and Raju K. George

Trajectory controllability of fractional dynamical systems

Journal of Control and Decision, 4 (2017), 114-130. [SCOPUS]

Affiliation with the Bharathiar University, Coimbatore

8. K. Balachandran, V. Govindaraj, M. Rivero and J.J. Trujillo

Controllability of fractional damped dynamical systems

Applied Mathematics and Computation, 257 (2015), 66-73. [SCI]

7. V. Govindaraj and K. Balachandran

Stability of Basset equation

Journal of Fractional Calculus and Applications, 5(3S) (2014), 1–15.

6. K. Balachandran and V. Govindaraj

Numerical controllability of fractional dynamical systems

Optimization, 63 (2014), 1267–1279. [SCIE]

5. K. Balachandran, V. Govindaraj, L. Rodrıguez-Germa and J.J. Trujillo

Stabilizability of fractional dynamical systems

Fractional Calculus and Applied Analysis, 17 (2014), 511–531. [SCIE]

4. K. Balachandran, V. Govindaraj, M. Rivero, J.A. Tenreiro Machado and J.J. Trujillo

Observability of nonlinear fractional dynamical systems

Abstract and Applied Analysis,  (2013), 346041. [SCOPUS]

3. K. Balachandran, V. Govindaraj, L. Rodrıguez-Germa and J.J. Trujillo

Controllability of nonlinear higher order fractional dynamical systems

Nonlinear Dynamics, 71 (2013), 605–612. [SCI]

2. K. Balachandran, V. Govindaraj, L. Rodrıguez-Germa and J.J. Trujillo

Controllability results for nonlinear fractional order dynamical systems

Journal of Optimization Theory and Applications, 156 (2013), 33–44. [SCI]

1.  K. Balachandran, V. Govindaraj, M.D. Ortigueira, M. Rivero and J.J. Trujillo

Observability and controllability of fractional linear dynamical systems

IFAC Proceedings Volumes (In: 6th Workshop on Fractional Differentiation and Its Applications),  46 (2013), 893- 898. [SCOPUS]

Administrative Responsibilities

• Chief Warden - Hostels [02.03.2026 - till date]

• Head, Department of Mathematics [05.02.2024 - 20.02.2026]

• Coordinator - Unnat Bharat Abhiyan & Swachh Bharath Abhiyan [27.07.2022 - 23.02.2024]

• Faculty In-Charge (Alumni Association)[14.07.2023 - 23.02.2024]

• Associate Dean - Student Welfare [01.12.2021 - 23.02.2024]

• Faculty In-Charge (Blood Donors Club) [18.09.2019 - 30.11.2021]

• NSS Programme Officer [06.09.2018 - 30.11.2021]

• Faculty In-Charge (Central Stores) [11.07.2018 - 19.06.2020]

Guest Editor

• A Special Issue on "Theory, Applications, and Numerics of Fractional-Order Dynamical Systems" in Fractals, Vol 33 (2025),  World Scientific by Hijaz Ahmad, V. Govindaraj and S. M. Sivalingam

Conference(s) Organized

• Organized an “International Conference on Fractional Calculus: Theory, Applications and Numerics” from January 27 - 30, 2023 at the National Institute of Technology Puducherry, Karaikal. (As Organizing Chairman)

• Organized a “National Conference on Numerical Analysis and Applications” from January 6 - 7, 2022 at the National Institute of Technology Puducherry, Karaikal. (As  Organizing Secretary)

• Organized a “National Conference on Mathematical Theory of Control” from December 10 - 12, 2020 jointly organizied with the Indian Institute of Space Science and Technology, Trivandrum and hosted by the National Institute of Technology Puducherry, Karaikal. (As  Organizing Secretary)

• Organized a “National Conference on Differential Equations and Dynamical Systems” from April 5 - 6, 2019 at the National Institute of Technology Puducherry, Karaikal sponsored by National Board for Higher Mathematics [NBHM], Mumbai and Indian National Science Academy [INSA], New Delhi. (As Organizing Chairman)

Workshop(s)/FDP(s) Organized

• Conducted the 5-day "Mathematics Workshop for Undergraduate Students" from September 27 - October 01, 2023 at the National Institute of Technology Puducherry, Karaikal. (As Convener)

• Conducted the 5-day "Mathematics Workshop for Undergraduate Students" from September 29 - October 03, 2022 at the National Institute of Technology Puducherry, Karaikal. (As Coordinator)

• Conducted the 5-day “FDP on Applied Science and Humanities” from December 14 - 18, 2020 at the National Institute of Technology Puducherry, Karaikal. (As Coordinator)

• Conducted the 5-day “Workshop on Research Tools and Techniques” from November 23 - 27, 2020 at the National Institute of Technology Puducherry, Karaikal. (As Coordinator) 

Invited Talks

• Delivered a talk in the National Conference on Control and Inverse Problems organized by the Department of Mathematics, Central University of Tamil Nadu, Thiruvarur, during July 03 - 04, 2025

• Delivered a talk in the Six Days National Level Faculty Development Programme on Beyond the Blackboard: Core and Applied Mathematics for Modern Educators, organized by the Department of Mathematics, Bon Secours College for Women, Thanjavur, on 8th Jan. 2025. 

• Delivered a talk in the one-day seminar organized by the PG and Research Department of Mathematics, A.D.M College for Women (Autonomous), Nagapattinam, on 20th December 2024. 

• Delivered an expert lecture at the five-day Online Short-Term Training Program on Effective Articles Writing and Presentation using LaTeX organized by Maulana Azad National Institute of Technology, Bhopal, Madhya Pradesh, from 3rd to 7th June 2024. 

• Invited a resource person to deliver a talk at a Seminar Session on Dynamical Systems: Control and Numerics organized by the Central University of Tamil Nadu, Thiruvarur, from 5th to 8th April 2024. 

• Delivered a talk at the International Conference on Pure and Applied Mathematics and Data Science organized by RVS College of Arts and Science, Coimbatore, from 1st to 3rd February 2024. 

• Delivered an invited talk on Differential Equations and Its Applications at Dr. N.G.P. Arts and Science College, Coimbatore, on 1st February 2024.

• Delivered a talk at the International Conference on Emerging Trends in Computational Mathematics and Data Science organized by Sri Krishna Arts and Science College, Coimbatore, from 10th to 11th January 2024. 

• Delivered the Expert Guest Lecture on Applications of Calculus at VIT, Chennai, on 4th December 2023. 

• Delivered a talk in the One-day Webinar on Applications of Differential Equations organized by KPR Institute of Engineering and Technology, Coimbatore, on 28th October 2023.

• Delivered a talk in the Induction Program for B.Tech Students (2023-2027) organized by PKIET, Karaikal, on 14th September, 2023.

• Delivered an invited lecture in the NDLI club activities organized by COEP Technological University, Pune, on 29th April 2023.

• Delivered a talk in the International Seminar on Pure and Applied Mathematics organized by Government Arts and Science College, Tharagampatti, Karur, on 14th March 2023.

• Invited for a plenary talk in the Faculty Development Program on Recent Trends in Mathematics and Its Applications, organized by the AICTE-Skill and Personality Development Centre & Department of Mathematics, Sathyabama Institute of Science and Technology, Chennai, during 06-11 February 2023. 

• Delivered an invited lecture at the International Conference on Research Trends in Contemporary Mathematics by Patrician College of Arts and Science, Chennai & Sacred Heart College Tirupattur, on 4th February, 2023.

• Invited for a guest talk in the International Workshop on Differential Equations and Applications by the School of Mathematics & Statistics and School of Data Analytics, Mahatma Gandhi University, Kerala, India, on 3 January 2023.

• Delivered an invited lecture in the Recent Trends in Mathematics with Applications in Sciences, Engineering, and Technology by Vellore Institute of Technology, Vellore, on 22nd December 2022.

• Delivered a talk at the International Seminar on Mathematical Modeling in Sustainable Development organized by PSG College of Arts and Science, Coimbatore, on 18th March 2022.

• Delivered a talk at the International Virtual Conference on Computational Mathematics organized by PPG College of Arts and Science, Coimbatore, on 25th June 2021.

• Invited for a guest talk at the National Seminar on Emerging Trends in Pure and Applied Mathematics, organized by PSG College of Arts and Science, Coimbatore, on 25th March 2021.

• Delivered an invited lecture at the National Workshop on Dynamical Systems with MATLAB and its Computations at Alagappa University, Karaikudi, on 10th January 2020.

• Participated in the International Congress of Mathematicians (ICM 2018), held in Rio de Janeiro, Brazil, from August 1-9, 2018, and presented the paper: “Results on the Controllability of Fractional Linear Dynamical Systems”.

Visits

• Visited Indian Institute of Science, Bangalore and worked with Prof. Phoolan Prasad on a project entitled “Studies on Hyperbolic Partial Differential Equation” during 13 May - 5 July 2019.

• Visited Indian Institute of Space Science and Technology, Thiruvananthapuram and had research discussion meeting with Prof. Raju K. George during 24-29 December 2018.

• Visited Indian Institute of Technology Mandi and worked with Prof. Muslim Malik on a research problem entitled “Trajectory Controllability of dynamical Systems” during 5-20 June 2017.

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