Measure of noncompactness for nonlinear Hilfer fractional differential equation with nonlocal Riemann–Liouville integral boundary conditions in Banach spaces

Boutiara, Abdelatif and Benbachir, Maamar and Guerbati, Kaddour (2020) Measure of noncompactness for nonlinear Hilfer fractional differential equation with nonlocal Riemann–Liouville integral boundary conditions in Banach spaces. Open Journal of Mathematical Sciences, 4 (1). pp. 456-465. ISSN 26164906

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Abstract

This paper investigates the existence results and uniqueness of solutions for a class of boundary value problems for fractional differential equations with the Hilfer fractional derivative. The reasoning is mainly based upon Mönch’s fixed point theorem associated with the technique of measure of noncompactness. We illustrate our main findings, with a particular case example, included to show the applicability of our outcomes. The boundary conditions introduced in this work are of quite general nature and reduce to many special cases by fixing the parameters involved in the conditions.

Item Type: Article
Subjects: OA Library Press > Mathematical Science
Depositing User: Unnamed user with email support@oalibrarypress.com
Date Deposited: 05 Jun 2023 04:59
Last Modified: 25 Jul 2024 07:48
URI: http://archive.submissionwrite.com/id/eprint/1096

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