Existence, Uniqueness and Ulam-Hyers-Rassias Stability of Differential Coupled Systems with Riesz-Caputo Fractional Derivative-Reference-Cited by-同舟云学术

Existence, Uniqueness and Ulam-Hyers-Rassias Stability of Differential Coupled Systems with Riesz-Caputo Fractional Derivative

Published:2023-06-01 Issue:2 Volume:84 Page:111-138
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Salim Abdelkrim¹²,Lazreg Jamal Eddine¹,Benchohra Mouffak¹

Affiliation:

1. 1 Laboratory of Mathematics , Djillali Liabes University , Sidi Bel-Abbes , Algeria

2. 2 Faculty of Technology , Hassiba Benbouali University , Chlef , Algeria

Abstract

Abstract This article deals with the existence, uniqueness and Ulam-Hyers--Rassias stability results for a class of coupled systems for implicit fractional differential equations with Riesz-Caputo fractional derivative and boundary conditions. We will employ the Banach’s contraction principle as well as Schauder’s fixed point theorem to demonstrate our existence results. We provide an example to illustrate the obtained results.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2023-0019

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