V. Govindaraj

55363702400

Publications - 3

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

D. U. Ozsahin L. Shangerganesh Ilker Ozsahin V. Govindaraj Hijaz Ahmad S. Hariharan Halet Ismail D. U. Ozsahin

Publication Name: Network Modeling Analysis in Health Informatics and Bioinformatics

Publication Date: 2026-12-01

Volume: 15

Issue: 1

Page Range: Unknown

Description:

This paper develops and analyzes a fractional-order predator–prey model with Holling type III functional response, incorporating the transmission of a contagious disease between both populations. We first establish the existence, uniqueness, non-negativity, and boundedness of solutions for the fractional-order system. The local stability of the model’s equilibrium points is examined, and the global stability is rigorously proved using a suitable Lyapunov function. We also investigate the effects of disease transmission on the predator–prey dynamics by identifying multiple equilibria, threshold parameters, and stability conditions. In particular, we analyze the existence of Hopf bifurcation at the endemic equilibrium point through bifurcation analysis, revealing the possible emergence of periodic oscillations. Analytical results are complemented by numerical simulations, highlighting the importance of incorporating both Holling type III predation and disease transmission when assessing prey–predator coexistence.

Open Access: Yes

DOI: 10.1007/s13721-025-00692-1

CONTROLLABILITY OF THE TIME-VARYING FRACTIONAL DYNAMICAL SYSTEMS HAVING MULTIPLE DELYAS IN CONTROL WITH CAPUTO FRACTIONAL DERIVATIVE

Ilker Ozsahin V. Govindaraj Berna Uzun Hijaz Ahmad Taha Radwan K. S. Vishnukumar S. M. Sivalingam

Publication Name: Fractals

Publication Date: 2026-01-01

Volume: Unknown

Issue: Unknown

Page Range: Unknown

Description:

The objective of this study is to analyze controllability results for time-varying linear and nonlinear fractional dynamical systems with multiple control delays within the framework of the Caputo fractional derivative. This paper focuses on examining control problems within a finite time interval, aiming to identify a control function that steers the system’s solution from a specified initial state to a targeted final state. For linear systems, the study establishes necessary and sufficient conditions for controllability by utilizing the Grammian matrix techniques. For nonlinear systems, the existence of a solution is ensured through an iterative technique, with completeness of the space guaranteed. With the help of this technique, we establish the sufficient conditions for the controllability of time-varying nonlinear fractional dynamical systems. The results show that the controllability of fractional dynamical systems can be effectively analyzed with the given framework, along with numerical simulations and graphical representations to clarify the theoretical findings.

Open Access: Yes

DOI: 10.1142/S0218348X26400025

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

V. Govindaraj Hijaz Ahmad P. Karthiga S. M. Sivalingam

Publication Name: Journal of Taibah University for Science

Publication Date: 2026-01-01

Volume: 20

Issue: 1

Page Range: Unknown

Description:

This article investigates controllability results for fractional dynamical systems with prescribed control, formulated using the (Formula presented.) -Caputo type fractional derivative. For linear systems, controllability is established via fractional calculus and the Gramian approach, while for nonlinear systems it is examined using Krasnoselskii’s fixed point technique. Theoretical findings are further supported with illustrative numerical examples. The study also discusses the mathematical framework required for the analysis and highlights the logical steps followed to derive the main results.

Open Access: Yes

DOI: 10.1080/16583655.2026.2635196