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

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

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.

Suggested Citation

  • Areen Al-khateeb & Hamzeh Zureigat & Belal Batiha & Shawkat Alkhazaleh & Birendra Nath Mandal, 2024. "Stability and Uniqueness Results for the Nonseparated Boundary Conditions of Nonlinear Coupled System of Fractional Differential Equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2024, pages 1-13, November.
    • Handle: RePEc:hin:jijmms:1857236
    DOI: 10.1155/ijmm/1857236
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