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Research Article | Open Access

Existence and uniqueness results for coupled system of fractional differential equations with exponential kernel derivatives

Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
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Abstract

In the framework of Caputo–Fabrizio derivatives, we study a new coupled system of fractional differential equations of higher orders supplemented with coupled nonlocal boundary conditions. The existence and uniqueness results of the solutions are proved. We consider the classical fixed–point theories due to Banach and Krasnoselskii for the main results. An example illustrating the main results is introduced.

Keywords

fractional differential equationsCaputo–Fabriziocoupled systemexistencefixed–point theorems
CLC number: 26A33, 34A08, 34A12, 47H10

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AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 590-606
DOI: 10.3934/math.2023027

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Cite this article:
Aljoudi S. Existence and uniqueness results for coupled system of fractional differential equations with exponential kernel derivatives. AIMS Mathematics, 2023, 8(1): 590-606. https://doi.org/10.3934/math.2023027

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Received: 14 August 2022
Revised: 13 September 2022
Accepted: 19 September 2022
Published: 15 January 2023
©2023 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)