Fixed point approach for nonlinear ψ-caputo ­fractional differential hybrid coupled system with ­periodic boundary conditions


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Authors

  • Mohammed M. Matar Department of Mathematics, Al-Azhar University-Gaza, Palestine
  • Souad Ayadi Acoustics and Civil Engineering Laboratory Djilali Bounaama university-Khemis Miliana-Algeria
  • Jehad Alzabut Department of Mathematics and Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia; Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, Türkiye
  • Abdelkrim Salim Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria; Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel Abbes 22000, Algeria

Keywords:

Existence, ψ-Caputo fractional derivative, coupled systems, boundary conditions, periodic conditions, uniqueness

Abstract

This article addresses the existence, uniqueness, and Ulam-Hyers stability of a class of nonlinear ψ -Caputo fractional differential hybrid coupled systems with periodic boundary conditions. Our approach is based on two key fixed point theorems: Banach’s contraction principle and Scheafer’s fixed point theorem. We provide a thorough discussion of the theoretical results and demonstrate their practical utility with a concrete example.

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Published

2023-10-16

How to Cite

Mohammed M. Matar, Souad Ayadi, Jehad Alzabut, & Abdelkrim Salim. (2023). Fixed point approach for nonlinear ψ-caputo ­fractional differential hybrid coupled system with ­periodic boundary conditions. Results in Nonlinear Analysis, 6(4), 13–29. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/318