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Research Article | Open Access

Analysis of nonlinear coupled Caputo fractional differential equations with boundary conditions in terms of sum and difference of the governing functions

Ahmed Alsaedi, Fawziah M. Alotaibi, Bashir Ahmad( )
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

In this paper, we introduce a new class of nonlocal multipoint-integral boundary conditions with respect to the sum and difference of the governing functions and analyze a coupled system of nonlinear Caputo fractional differential equations equipped with these conditions. The existence and uniqueness results for the given problem are proved via the tools of the fixed point theory. We also discuss the case of nonlinear Riemann-Liouville integral boundary conditions. The obtained results are well-illustrated with examples.

Keywords

fractional differential systemmultipoint-integral boundary conditionsexistencefixed point
CLC number: 34A08, 34B15

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 8314-8329
DOI: 10.3934/math.2022463

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Cite this article:
Alsaedi A, Alotaibi FM, Ahmad B. Analysis of nonlinear coupled Caputo fractional differential equations with boundary conditions in terms of sum and difference of the governing functions. AIMS Mathematics, 2022, 7(5): 8314-8329. https://doi.org/10.3934/math.2022463

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Received: 29 December 2021
Revised: 04 February 2022
Accepted: 17 February 2022
Published: 15 May 2022
©2022 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)