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

AIMS Mathematics

article

Shorog Aljoudi¹ 

[1] Department of Mathematics and Statistics, College of Science, Taif University

关键词: fractional differential equations;    Caputo-Fabrizio;    coupled system;    existence;    fixed-point theorems;   

DOI  :  10.3934/math.2023027

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY