Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana–Baleanu–Caputo Derivative-Reference-Cited by-同舟云学术

Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana–Baleanu–Caputo Derivative

Published:2022-09-26 Issue: Volume:2022 Page:1-12
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Zhao Liyuan¹,Jiang Yirong²^ORCID

Affiliation:

1. Wujiajing Nine-Year School, Wuwei 733000, Gansu, China

2. College of Science, Guilin University of Technology, Guilin, Guangxi 541004, China

Abstract

The aim of this article is to investigate a coupled hybrid system of fractional differential equations with the Atangana–Baleanu–Caputo derivative which contains a Mittag–Leffler kernel function in its kernel. We firstly apply the Dhage fixed point principle to obtain the existence of mild solutions. Then, we study the Ulam–Hyers stability of the introduced fractional coupled hybrid system. Finally, an example is presented to exhibit the validity of our results.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2022/4741224.pdf

Reference18 articles.

1. Basic results on hybrid differential equations;B. C. Dhage;Nonlinear Anal. Hybrid Syst,2010

2. A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions;D. Baleanu;Boundary Value Problems,2020

3. Initial-value problems for hybrid Hadamard fractional differential equations;B. Ahmad;The Electronic Journal of Differential Equations,2014

4. Theory of fractional hybrid differential equations

5. Existence results for hybrid fractional differential equations with Hilfer fractional derivative;D. Vivek;Caspian Journal of Mathematical Sciences,2020

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hyers–Ulam Stability of Solution for Generalized Lie Bracket of Derivations;Journal of Mathematics;2024-01

2. New Existence and Stability Results for $[ψ, w]$ -Caputo−Fabrizio Fractional Nonlocal Implicit Problems;Journal of Mathematics;2023-03-01