Application of a tripled fixed point theorem to investigate a nonlinear system of fractional order hybrid sequential integro-differential equations

AIMS Mathematics

article

Muhammed Jamil¹  Rahmat Ali Khan¹  Kamal Shah¹  Bahaaeldin Abdalla²  Thabet Abdeljawad² 

[1] Department of Mathematics, University of Malakand;Department of Mathematics and Sciences, Prince Sultan University;Department of Medical Research, China Medical University

关键词: measure of non-compactness;    tripled system;    Darbo's fixed point theorem;    Hyers-Ulam stability;   

DOI  :  10.3934/math.20221029

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

The goal of this manuscript is to study the existence theory of solution for a nonlinear boundary value problem of tripled system of fractional order hybrid sequential integro-differential equations. The analysis depends on some results from fractional calculus and fixed point theory. As a result, we generalized Darbo's fixed point theorem to form an updated version of tripled fixed point theorem to investigate the proposed system. Also, Hyres-Ulam and generalized Hyres-Ulam stabilities results are established for the considered system. For the illustration of our main results, we provide an example.

【 授权许可】

CC BY