Existence result for a fractional differential equation involving a special derivative

Beddani, Moustafa; Hedia, Benaouda

doi:10.2478/mjpaa-2022-0006

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.

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Existence result for a fractional differential equation involving a special derivative

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