Existence result for a fractional differential equation involving a special derivative
and | Jan 13, 2022
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
© 2022 Moustafa Beddani et al., published by Sciendo
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 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.