Open AccessArticle

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

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

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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.

Keywords

Banach space; Existence; Fixed point; Fractional differential equations; Hadamard fractional derivatives; Measure of noncompactness

Cite This Article

Abdelouaheb Ardjouni.

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

Copyright © 2021 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/).