Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative-Reference-Cited by-同舟云学术

Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative

Published:2021-10-11 Issue: Volume:2021 Page:1-13
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Sajedi Leila¹^ORCID,Eghbali Nasrin¹^ORCID,Aydi Hassen²³⁴^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367 Ardabil, Iran

2. Université de Sousse, Institut Supérieur D’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia

3. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

4. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

Abstract

In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative. We applied the Perov-type fixed point theorem to prove the existence and uniqueness of the proposed system. Furthermore, the Ulam–Hyers–Rassias stability and Ulam–Hyers–Rassias–Mittag-Leffler’s stability results for the given system are discussed.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/7275934.pdf

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