Solvability and stability analysis of a coupled system involving generalized fractional derivatives

AIMS Mathematics

article

Abdallah Djaout¹  Maamar Benbachir²  Mustapha Lakrib³  Mohammed M. Matar⁴  Aziz Khan⁵  Thabet Abdeljawad⁵ 

[1] Faculty of Sciences, Saad Dahlab University;National Higher School of Mathematics;Laboratory of Mathematics, Djillali Liabès University;Department of Mathematics, Al-Azhar University-Gaza;Department of Mathematics and Sciences, Prince Sultan University;Department of Medical Research, China Medical University;Department of Mathematics, Kyung Hee University

关键词: existence and uniqueness;    generalized fractional derivative and integral;    boundary value problem;    minimal and maximal solutions;    Ulam-Hyers;   

DOI  :  10.3934/math.2023393

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this article, we investigate the existence of unique maximal and minimal solutions for a coupled differential system in terms of generalized fractional derivative with arbitrary order. The iterative technique of a fixed point operator together with the properties of green's function are used basically. Moreover, we investigate the generalized Ulam-Hyers stability of the solution for the given coupled system. Finally, some examples are given to illustrate the theoretic results.

【 授权许可】

CC BY