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Existence of solutions for Hadamard fractional differential equations in Banach spaces

Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553,Souk Ahras, 41000, Algeria

Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (1),
1-9.
https://doi.org/10.62072/acm.2021.040101
Received: 29 December 2020 |
Accepted: 15 March 2021 |
Published: 31 March 2021

Abstract

In this work, we investigate the existence of solutions for Hadamard fractional differential equations with integral boundary conditions in a Banach space. We will make use the measure of noncompactness and the Monch fixed point theorem to prove the ¨ main results. An example is given to illustrate our results.

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Cite This Article

Existence of solutions for Hadamard fractional differential equations in Banach spaces.

Annals of Communications in Mathematics,

2021,
4 (1):
1-9.
https://doi.org/10.62072/acm.2021.040101
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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