Analysis of a Coupled System of Ã-Caputo Fractional Derivatives with Multipoint–Multistrip Integral Type Boundary Conditions

• Haroon Niaz Ali Khan ^[1] ; Akbar Zada ^[1] ; Ishfaq Khan ^[1]
  1. [1] University of Peshawar

     University of Peshawar

     Pakistán

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
• Idioma: inglés
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• Resumen

  • In this paper, we investigate the existence of solutions for a new coupled system of fractional differential equations that involves ψ-Caputo fractional derivatives equipped with coupled integro multistrip–multipoint boundary conditions. The uniqueness result for the given problem is obtained by utilizing the Banach contraction principle, while the existence results are established with the help of Schaefer’s fixed point theorem under specific assumptions. We also discuss the Ulam–Hyers stability for the problem at hand. Numerical examples are constructed for the illustration of the abstract results.