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

Shorog Aljoudi; Shorog Aljoudi

doi:10.3934/math.2023027

AIMS Mathematics

2023, Volume 8, Issue 1: 590-606. doi: 10.3934/math.2023027

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

Shorog Aljoudi ^,

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

Received: 14 August 2022 Revised: 13 September 2022 Accepted: 19 September 2022 Published: 09 October 2022
MSC : 26A33, 34A08, 34A12, 47H10

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.
- fractional differential equations,
- Caputo-Fabrizio,
- coupled system,
- existence,
- fixed-point theorems
Citation: Shorog Aljoudi. Existence and uniqueness results for coupled system of fractional differential equations with exponential kernel derivatives[J]. AIMS Mathematics, 2023, 8(1): 590-606. doi: 10.3934/math.2023027

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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.

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