<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Tatra Mountains Mathematical Publications

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...

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

Published Online: Jun 28, 2023

Page range: 111 - 138

Received: Dec 08, 2022

DOI: https://doi.org/10.2478/tmmp-2023-0019

Keywords
Riesz-Caputo fractional derivative, implicit problem, existence, coupled system, fixed point, Ulam stability

© 2023 Abdelkrim Salim et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Jun 28, 2023

Page range: 111 - 138

Received: Dec 08, 2022

DOI: https://doi.org/10.2478/tmmp-2023-0019

KeywordsRiesz-Caputo fractional derivative, implicit problem, existence, coupled system, fixed point, Ulam stability

© 2023 Abdelkrim Salim et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Riesz-Caputo fractional derivative, implicit problem, existence, coupled system, fixed point, Ulam stability