Peer-Reviewed Article August 11, 2021
Existence result for a fractional differential equation involving a special derivative
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Published in: Moroccan Journal of Pure and Applied Analysis
Publisher: Sidi Mohamed Ben Abdellah University • Morocco • 2351-8227 • 2605-6364
Abstract
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.