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

<p>In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential equation in Banach space. Our approach is based on a combination of Mönch fixed point theorem and a suitable measure of non-compactness. Also an example is given to illustrate our approach.</p>
</abstract>

In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential equation in Banach space. Our approach is based on a combination of Mönch fixed point theorem and a suitable measure of non-compactness. Also an example is given to illustrate our approach.

Existence result for a fractional differential equation involving a special derivative

Djillali Liabes University of Sidi Bel-Abbès

Moroccan Journal of Pure and Applied Analysis

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

In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential...

Existence result for a fractional differential equation involving a special derivative

Published Online: Jan 13, 2022

Page range: 67 - 77

Received: Dec 31, 2020

Accepted: May 12, 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0006

Keywords
Fractional-ordinary differential equation, measure of non-compactness of Kuratowski, Banach space, Mönch fixed point theorem, Riemann-Liouville fractional derivative

© 2022 Moustafa Beddani et al., published by Sciendo

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

Existence result for a fractional differential equation involving a special derivative

Published Online: Jan 13, 2022

Page range: 67 - 77

Received: Dec 31, 2020

Accepted: May 12, 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0006

KeywordsFractional-ordinary differential equation, measure of non-compactness of Kuratowski, Banach space, Mönch fixed point theorem, Riemann-Liouville fractional derivative

© 2022 Moustafa Beddani et al., published by Sciendo

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

Keywords
Fractional-ordinary differential equation, measure of non-compactness of Kuratowski, Banach space, Mönch fixed point theorem, Riemann-Liouville fractional derivative