Stability and Uniqueness Results for the Nonseparated Boundary Conditions of Nonlinear Coupled System of Fractional Differential Equations

Areen Al-khateeb, Hamzeh Zureigat, Belal Batiha, Shawkat Alkhazaleh and Birendra Nath Mandal

International Journal of Mathematics and Mathematical Sciences, 2024, vol. 2024, 1-13

Abstract: In this article, the focus is on investigating the uniqueness, existence, and stability of a coupled system of fractional differential equations with non-separated coupled boundary conditions. The uniqueness of solutions for the presented problem is discussed by employing the fixed-point theorem. The Leray–Schauder’s alternative is used to investigate the existence of solutions for the presented equation. A formulation of certain conditions for the Hyers–Ulam type stability of solutions pertaining to the boundary value problem (BVP) is discussed. Finally, two numerical examples are presented to examine and illustrate our results.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:1857236

DOI: 10.1155/ijmm/1857236

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