Existence and Stability Results for a System of Coupled Multi-Term Caputo Fractional Differential Equations with Integral Multi-Strip Coupled Boundary Conditions

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DOI: https://doi.org/10.28924/2291-8639-24-2026-243
Published: Aug 17, 2026
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Najla Alghamdi, Maryam Ahmad Alyami, Nouf Khalid Alghefari, Saleh S. Redhwan, Existence and Stability Results for a System of Coupled Multi-Term Caputo Fractional Differential Equations with Integral Multi-Strip Coupled Boundary Conditions, Int. J. Anal. Appl., 24 (2026), 243.

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Najla Alghamdi, Maryam Ahmad Alyami, Nouf Khalid Alghefari, Saleh S. Redhwan

Abstract

This paper investigates a nonlinear boundary value problem governed by a coupled system of multi-term Caputo fractional differential equations subject to integral multi-strip boundary conditions. An equivalent operator formulation is derived in an appropriate Banach space setting, providing a suitable framework for the application of fixed point theory. Existence and uniqueness results are derived using Banach’s contraction theorem and Krasnoselskii’s fixed point theorem. The study also addresses several forms of Ulam-type stability, namely Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability, and generalized Ulam–Hyers–Rassias stability. An illustrative example is provided to confirm the applicability of the obtained results.

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