Existence, Uniqueness and Ulam-Hyers-Rassias Stability of Differential Coupled Systems with Riesz-Caputo Fractional Derivative
, oraz
28 cze 2023
O artykule
Data publikacji: 28 cze 2023
Zakres stron: 111 - 138
Otrzymano: 08 gru 2022
DOI: https://doi.org/10.2478/tmmp-2023-0019
Słowa kluczowe
© 2023 Abdelkrim Salim et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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.