Impulsive Caputo-tempered fractional boundary coupled systems

Authors

  • Halima Kadari Department of Mathematics, University of Relizane, Relizane, 48000, Algeria
  • Abdelkrim Salim Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89, Sidi Bel-Abbes 22000, Algeria; Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria
  • Mouffak Benchohra $Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes,\\ P.O. Box 89, Sidi Bel-Abbes 22000, Algeria
  • Seenith Sivasundaram College of Science, Engineering and Mathematics, Daytona Beach, FL 32114, USA

Abstract

In this paper, we investigate the existence of solutions for an impulsive coupled system of tempered fractional differential equations with three-point boundary conditions by employing the nonlinear alternative fixed point theorem in a generalized Banach space. Furthermore, We study the uniqueness of the solution according to Perov's fixed point theorem. and explore the Ulam stability of the system as an essential qualitative property of the obtained solutions. To illustrate the theoretical results, we present an example demonstrating the effectiveness and applicability of the proposed approach.

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Published

2026-02-28

Issue

Vol. 33 No. 1 (2026): Nonlinear Studies

Section

Articles

License

Copyright (c) 2026 Halima Kadari, Abdelkrim Salim, Mouffak Benchohra, Seenith Sivasundaram

Creative Commons License

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

How to Cite

Impulsive Caputo-tempered fractional boundary coupled systems. (2026). Nonlinear Studies, 33(1), 23-54. https://www.nonlinearstudies.com/index.php/nonlinear/article/view/4234