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Research Article | Open Access

Coupled system of ( k , ψ )-Caputo fractional boundary value problems involving multi-point fractional closed boundary conditions

Furkan Erkan1, Nuket Aykut Hamal1, Sotiris K. Ntouyas2( ), Bashir Ahmad3
Department of Mathematics, Ege University, 35100 Bornova, Izmir, Türkiye
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
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Abstract

This work is devoted to the analysis of a coupled system of ( k , ψ )-Caputo fractional differential equations equipped with fractional closed boundary conditions. We establish the uniqueness of solutions by applying Banach's contraction principle, and existence is obtained through the Leray–Schauder alternative. Illustrative examples are included to demonstrate the effectiveness and practical relevance of the theoretical results.

Keywords

coupled systems(k, ψ)-Caputo fractional derivativeexistence and uniquenessfixed point theoryLeray–Schauder alternative
CLC number: 34A08, 34B10, 34B15

References

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AIMS Mathematics
Volume 11 Issue 1,
January 2026
Pages 2722-2746
DOI: 10.3934/math.2026110

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Cite this article:
Erkan F, Hamal NA, Ntouyas SK, et al. Coupled system of ( k , ψ )-Caputo fractional boundary value problems involving multi-point fractional closed boundary conditions. AIMS Mathematics, 2026, 11(1): 2722-2746. https://doi.org/10.3934/math.2026110

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Received: 05 January 2026
Revised: 22 January 2026
Accepted: 26 January 2026
Published: 28 January 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)