Experience

 5 Years

Ph.D. Guided 

2

Project(s)

 1


Publication(s)

(SCI/SCIE/SCOPUS)


66

Conference(s) Organized 

4

Workshop(s)/FDP(s) Organized 

4

Dr. V. Govindaraj

Assistant Professor

Karaikal - 609 609


E-Mail Id. :  govindaraj.v@nitpy.ac.in   Mobile No. : +91 - 8608130240

Teaching/Research Experience

Assistant Professor [2018 - till date]

Department of Mathematics, National Institute of Technology Puducherry, Karaikal - 609 609.

Post Doctoral Fellow(NBHM) [2015 - 2018]

Indian Institute of Space Science and Technology, Thiruvananthapuram, India.

Guest Lecturer [2014 - 2015

Bharathiar University, Coimbatore, India.

 Academic Qualifications

Ph.D. Mathematics [2012 - 2014]

Bharathiar University, Coimbatore, India.

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]

Bharathiar University, Coimbatore, India.

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


M.Sc. Mathematics [2008 - 2010]

Bharathiar University, Coimbatore, India.

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


B.Sc. Mathematics [2005 - 2008]

Govt. Arts & Science College, Salem, India.

Awards

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

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 Interests


Establishment of Laboratory

As an initiating faculty, I established a “Computational Laboratory” jointly with Dr. G.S. Mahapatra in the Deptartment of Mathematics, NIT - Puducherry, Karaikal.


Research Supervision

Ph.D. Supervised

COMPLETED: 2

ONGOING: 8

Research Project

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. 15,02,900/-  

Publications


Affiliation with the National Institute of Technology Puducherry, Karaikal


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,  (2024), 1 - 37. [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 Dynamics13 (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] 


75A. Panneer Selvam and V. Govindaraj

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

Qualitative Theory of Dynamical Systems23 (2024), 1-26. [SCIE]


74A. Panneer Selvam and V. Govindaraj

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

Contemporary Mathematics5 (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]


71A. 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 Fractals181 (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, (2024), 1 - 20. [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, (2024), 1 - 18. [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, (2024), 1-17. [SCOPUS]


63. M. Vellappandi, 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, 1-37. [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] 


58S.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. KumarM. 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, (2023) 27, 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]

Courses Taught

Department Responsibilities


Additional Responsibilities

Administrative Responsibilities

Guest Editor

Conference(s) Organized

Workshop(s)/FDP(s) Organized

Invited Talks

Visits

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