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Research Impact:




Assistant Professor Dr Sathiyaraj Thambiayya

Assistant Professor

Academic Qualifications

Ph. D (Mathematics)
M.Phil. (Mathematics)
M.Sc. (Mathematics)
B.Sc. (Mathematics)

Areas of Interest
Control Theory
Fractional Calculus
Stochastic Differential Equations
Research

Completed project:

Funder: Fundamental Research Grant Scheme (FRGS)
Title: An Artificial Intelligence System for the Automated Detection of Diabetic Retinopathy   using Machine Learning Algorithms and Complex Fuzzy Logic
Project Code: FRGS/1/2020/STG06/ÎåÒ»³Ô¹Ï¹ÙÍø/02/1
Role: Principal Investigator
Amount: RM 96,000

 

Ongoing Project:

Funder: REIG-ÎåÒ»³Ô¹Ï¹ÙÍø Grant
Title: Fractional Order Stochastic Complex Systems and its Applications
Project Code: REIG-IASDA-2023/045
Role: Principal Investigator
Amount: RM 46,000.00

Publications

Publications (past 5 years):
 
1. M. Suresh Kumar, N. Ramesh Babu, S. Harshavarthini, T. Sathiyaraj, Qualitative analysis of fractal-fractional order Coffee Berry epidemic model on an agricultural farm, Results in Physics, 75(2025), 1 - 13, 2025. (Impact factor: 4.6) SCI/Q1.
2. A. Blessy, S. Harshavarthini, T. Sathiyaraj, Quanxin Zhu, S. M. Lee, Two-Degree- Of-Freedom-Based Feedback Control Design for Semi-Markovian Jump Systems via Quadratic Function Negative Determination Approach, International Journal of Robust and Nonlinear Control, doi.org/10.1002/rnc.70026, 2025. (Impact factor: 3.2) SCI/Q1.
3. B. Harikaran, S. Harshavarthini, S. M. Lee, R. Sakthivel, T. Sathiyaraj, New results on interval type-3 fuzzy control for nonlinear time-delay systems using convex re- laxation technique, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 55(5), 3630 - 3641, 2025. (Impact factor: 8.6) SCI/Q1.
4. M. Y. Zhang, F. Hosseinifar, H. Chen, T. Sathiyaraj, H. Hassanabadi, A new ap- proach for calculation of quasi-normal modes and topological charges of regular black holes, Annals of Physics, 476, 1-11, Article ID 169980, 2025. 
(Impact factor: 3.0) SCI-Q1.
5. S. Gimnitz Simon, B. Bira, T. Sathiyaraj, Optimal algebras and novel solutions of time-fractional (2+1)-D European call option model, Discrete Dynamics in Nature and Society, 2025, 1-11, Article ID 5568285, 2025. (Impact factor: 1.3) SCIE-Q3.
6. P. Vishnukumar, A. Anbarasan, T. Sathiyaraj, Mohammad Sajid, Some common fixed-point theorem on complex-valued metric spaces and its application to solve Urysohn integral equations, Contemporary Mathematics, 6(1), 812-826, 2025. (Im- pact factor: 0.6) ESCI-Q4.
7. T. Sathiyaraj, P. Balasubramaniam, K. Ratnavelu, Controllability of non-instantaneous impulsive large-scale neutral fractional stochastic systems with Poisson jumps, Ren- diconti del Circolo Matematico di Palermo Series II, 74, 1-21, 2025. (Impact factor: 0.9) ESCI-Q2.
8. S. Harshavarthini, D. Gomathi, T. Sathiyaraj, B. Harikaran, R. Sakthivel, Design of functional estimation-based controller for the stabilization of time-delayed systems, The European Physical Journal Special Topics, 1-12, 2024, doi.org/10.1140/epjs/s11734- 024-01419-5. (Impact factor: 2.6) SCIE-Q2.
9. N. Heidari, M de Montigny, A. A. Azar, T. Sathiyaraj, H. Hassanabadi, Solutions of the nonlinear Klein-Gordon equation and the generalized uncertainty principle with the hybrid analytical and numerical method, Nuclear Physics B, 116750, 1-13, 2024. (Impact factor: 2.5) SCIE-Q1.
10. T. Sathiyaraj, JinRong Wang, Controllability and stability of non-instantaneous impulsive stochastic multiple delays system, Journal of Optimization Theory and Applications, 201, 995-1025, 2024. (Impact factor: 1.9) SCIE-Q1.
11. T. Sathiyaraj, P. Balasubramaniam, H. Chen, Seng Huat Ong, Optimal control of higher-order Hilfer fractional non-instantaneous impulsive stochastic integro- differential systems, Journal of Engineering Mathematics, 146, 1-25 (2024). (Im- pact factor: 1.3) SCIE-Q2.
12. T. Sathiyaraj, H. Chen, N. Ramesh Babu, H. Hassanabadi, Fractal-fractional order stochastic chaotic model: A synchronization study, Results in Control and Optimiza- tion, 12, Article ID: 100290, https://doi.org/10.1016/j.rico.2023.100290 (2023), ESCI- Q2.
13. H. Chen, T. Sathiyaraj, H. Hassanabadi, Y. Yang, Z-W. Long, F-Q. Tu, Quasi- normal modes of the EGUP-corrected Schwarzschild black hole, Indian Journal of Physics, 97, 4481-4489 (2023). (Impact factor: 2.0) SCIE-Q3.
14. T. Sathiyaraj, T. Ambika, Ong Seng Huat, Exponential Stability of Fractional Large-Scale Neutral Stochastic Delay Systems with Fractional Brownian Motion, Journal of Risk and Financial Management, 16(5): 278 (2023) ESCI-Q2.
15. P. Balasubramaniam, T. Sathiyaraj, K. Ratnavelu, Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm, Bulletin of the Malaysian Mathematical Sciences Society, 45(5), 2787-2819, (2022). (Impact factor: 1.2) SCIE-Q2.
16. Qura Tul Ain, T. Sathiyaraj, Shazia Karim, Muhammad Nadeem, Patrick Kandege Mwanakatwe, ABC Fractional Derivative for the Alcohol Drinking Model using Two-Scale Fractal Dimension, Complexity doi.org/10.1155/2022/8531858 Article ID 8531858, 2022. (Impact factor: 2.3) SCIE-Q1.
17. T. Sathiyaraj, Mic¡¦hal Feckan, JinRong Wang, Synchronization of Fractional Stochas- tic Chaotic Systems via Mittag-Leffler Function, Fractal and Fractional, 6(4), 192, 2022. (Impact factor: 5.4) SCIE-Q2.
18. JinRong Wang, T. Sathiyaraj, Donal O¡¯Regan, Relative controllability of fractional delay stochastic systems via fractional delayed sine and cosine matrices, Nonlinear Analysis: Modelling and Control, 26(6), 1031-1051, 2021. (Impact factor: 2.0) SCIE-Q2.
19. P. Balasubramaniam, T. Sathiyaraj, K. Priya, Exponential stability of nonlinear fractional stochastic systems with Poisson jumps, Stochastics: An International Journal of Probability and Stochastic Processes, 96, 945-957, (2021) (Impact fac- tor: 1.00) SCIE-Q2.
20. T. Sathiyaraj, Optimal control of fractional stochastic systems with delay, Inter- national Journal of Dynamical Systems and Differential Equations, (Impact factor: 0.3) ESCI/Scopus 11(5/6), 594-601, (2021).
21. T. Sathiyaraj, JinRong Wang, P. Balasubramaniam, Controllability and optimal control for a class of time-delayed fractional stochastic integro-differential systems, Applied Mathematics & Optimization, 84, 2527-2554, (2021). (Impact factor: 1.8) SCIE-Q1.
22. T. Sathiyaraj, JinRong Wang, Donal O¡¯Regan, Controllability of stochastic non- linear oscillating delay systems driven by the Rosenblatt distribution, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 151, 217-239, (2021) (Impact factor: 1.3) SCIE-Q1.
23. T. Sathiyaraj, Mic¡¦hal Feckan, JinRong Wang, Null controllability of semilinear stochastic delay systems with perturbation of linear matrices, Chaos Solitons & Fractals, 138, 1-11, (2020) (Impact factor: 7.8) SCIE-Q1.
24. Michal Feckan, T. Sathiyaraj, JinRong Wang, Synchronization of Butterfly frac- tional order chaotic system, Mathematics, 8(3), 1-12, (2020) (Impact factor: 2.4) SCIE-Q2.

 

Professional Membership & Activities

Editorial Board Member, International Journal of Mathematics and Systems Science, EnPress Publisher, USA.

Editorial Board Member, Signal and Information Processing, Whioce Publishing Pte. Ltd., Singapore. 

Editorial Board Member, Smart Construction Research, Whioce Publishing Pte. Ltd., Singapore.

Editorial Board Member, Journal of Networking and Telecommunications, EnPress Publisher, USA.

 

Professional Membership: Ramanujan Mathematical Society

Technical Reviewer

Mathematical Reviews (AMS).

Mathematical Methods in the Applied Sciences (Wiley).

Asian Journal of Control (Wiley).

International Journal of Robust and Nonlinear Control (Wiley).

International Journal of Systems Science (Taylor and Francis).

Advances in Difference Equations (Springer).

International Journal of Dynamical Systems and Differential Equations (Inderscience).

The Journal of Analysis (Springer).

Conferences

Chair Person for a paper presentation session in the ¡±International Conference on Mathematical Modelling and Computational Intelligence Techniques¡± on February 10-12, 2021 organised by Department of Mathematics, The Gandhigram Rural Institute - Deemed to be University, Gandhigram, Tamil Nadu, India.

Member of the organising committee in the ¡±International Conference on Applied Analysis, Mathematical Modeling and Computing Techniques¡± on March 15-17, 2018 organised by Department of Mathematics, The Gandhigram Rural Institute - Deemed to be University, Gandhigram, Tamil Nadu, India.

T. Sathiyaraj, P. Balasubramaniam, Controllability of fractional stochastic integrodifferential systems with prescribed controls, ¡±International Conference on Dis- crete and Computational Mathematics¡± on February 16-18, 2017 at Department of Mathematics, The Gandhigram Rural Institute - Deemed University, Gandhigram, Tamil Nadu, India, pages : 179-187.

T. Sathiyaraj, P. Balasubramaniam, Controllability of nonlinear fractional neutral stochastic dynamical systems with Poisson jumps, ¡±International conference on Recent trend in mathematical analysis and applications¡± on December 21-23, 2014, at Department of Mathematics, IIT Roorkee, Uttarakhand, India, pages : 429-438.

Achievements & Awards

  • Selected for National Post-Doctoral Fellowship under Science and Engineering Research Board (SERB), Govt. of India, New Delhi-110016 to the host institution Indian Institute of Technology Kanpur, Kanpur Nagar, Uttar Pradesh208016, India.
  • The ¡®Senior Research Fellow¡¯ award by Council of Scientific and Industrial Research (CSIR), New Delhi, India.
  • Served as Resource Person and Delivered a Lecture entitled on ¡°Solution representation of delay differential equations and its qualitative behaviours¡° in the One Week International FDP on Applicable Mathematics and Programming in Science and Technology organised by Mohamed Sathak A.J. College of Engineering, Siruseri IT Park, OMR, Chennai 603 103, INDIA held on 7-12 June 2021.
  • Served as Resource Person and Delivered a Lecture entitled on ¡°Qualitative Behaviours of Delay Differential Equations with Perturbation of Matrices¡° in the International virtual conference on dynamical systems and soft computing-2021 organised by PG & Research Department of Mathematics, Gobi Arts & Science College, Gobichettipalayam, Erode-638 453 held on 5-6 March 2021.
  • Served as Resource Person in the International webinar on ¡°Qualitative Analysis of Fractional Delay Differential Equations with Delayed Perturbation of Matrices¡° organised by School of Arts and Science, Vinayaka Mission¡¯s Research Foundation, AV Campus, VMRF, Paiyanoor, Chennai-603 104 held on 28 July 2020.
  • Served as Resource Person in the International webinar on ¡°Fractional Differential Equations with Perturbation of Linear Matrices¡° organised by Department of Mathematics, Hindusthan Institute of Technology, Coimbatore held on 6 July 2020.
  • Delivered a lecture on ¡°Qualitative Behaviours of Fractional Delay Differential Equations¡° on a three day Webinar series organised by Department of Science and Humanities, Amrita College of Engineering and Technology, Nagercoil on 2 July, 2020.
  • Deliver an invited talk on ¡°Qualitative Analysis of Fractional-Order Dynamical Systems¡° in the International Conference on Mathematical Modelling and Scientific Computing on February 19-21, 2020 at Department of Mathematics, The Gandhigram Rural Institute - Deemed to be University, Gandhigram, Tamil Nadu, India.
  • Deliver a Video Conferencing Lecture on the topic ¡°Algorithmic Approaches for Dynamical Systems¡° at Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore on 16 December 2019.
  • Participated in the International Workshop on Mathematical Modelling and Soft Computing organised by Department of Mathematics, The Gandhigram Rural Institute - Deemed University, Gandhigram, Tamil Nadu, during April 25-27, 2018.
  • Participated in the Symposium on Mathematical Modelling and Soft Computing, The Gandhigram Rural Institute¨CDeemed University, Dindigul, Tamil Nadu, during, March 28 ¨C29, 2014.
  • Participated in the Pursuing Relevant Research Possibilities and Concerns, St. Josephs College (Autonomous), Tiruchirappalli, Tamil Nadu, during, January 28, 2012.