On the Coupled System of Fractional Pantograph Differential Equations with psi-Caputo Fractional Derivatives

Authors

  • D. Prabu Department of Mathematics, Bharathiar University, Coimbatore - 641 046, India.
  • N. Annapoorani Department of Mathematics, Bharathiar University, Coimbatore - 641 046, India

Abstract

This work investigates the existence of solutions for a coupled system of fractional pantograph differential equations involving ?-Caputo fractional derivatives. The results are obtained by employing the Banach fixed point theorem and the Leray-Schauder alternative theorem. Finally, we provide some examples to illustrate our findings.

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Published

2024-11-30

Issue

Vol. 31 No. 4 (2024): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2024 D. Prabu, N. Annapoorani

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

On the Coupled System of Fractional Pantograph Differential Equations with psi-Caputo Fractional Derivatives. (2024). Nonlinear Studies, 31(4), 1321-1334. https://nonlinearstudies.com/index.php/nonlinear/article/view/3215