Analysis of Coupled Sequential Systems of Caputo Fractional Differential Equations under Two-Point Integral Boundary Constraints

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DOI: https://doi.org/10.28924/2291-8639-24-2026-124
Published: Apr 20, 2026
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P.T. Kiruthika, N. Mohana Sorubha Sundari, Analysis of Coupled Sequential Systems of Caputo Fractional Differential Equations under Two-Point Integral Boundary Constraints, Int. J. Anal. Appl., 24 (2026), 124.

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P.T. Kiruthika, N. Mohana Sorubha Sundari

Abstract

In this paper, we investigate a coupled system of sequential Caputo fractional differential equations subject to two-point integral boundary conditions. Such systems arise naturally in the mathematical modeling of various phenomena in physics, biology, and engineering. By employing fixed point techniques based on the Banach contraction principle, sufficient conditions for the existence and uniqueness of solutions are established. Furthermore, we analyze the Hyers–Ulam stability of the proposed system and derive explicit criteria ensuring that small perturbations in the initial data lead to correspondingly small deviations in the solutions. To illustrate the applicability of the theoretical results, numerical examples are provided, which confirm the effectiveness and validity of the obtained analysis.

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