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2022 / December Volume 17 No.4
Existence of solutions for fractional differential equations with Ψ-Hilfer fractional derivative with nonlocal integral boundary conditions
Published Date
2022 / December
Title
Existence of solutions for fractional differential equations with Ψ-Hilfer fractional derivative with nonlocal integral boundary conditions
Author
Kamel Ali Khelil, Abdelouaheb Ardjouni, Adel Lachouri, Faycal Bouchelaghem
Keyword
Fractional differential equations, Ψ-Hilfer fractional derivatives, measure of noncompactness, fixed point, existence, Banach space
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Pagination
383-399
Abstract
In this paper, we study the existence of solutions for a boundary value problem of Ψ-Hilfer fractional derivative with nonlocal integral boundary conditions by using the measure of noncompactness combined with the Monch’s fixed point theorem. Two examples are given to illustrate our results.
DOI
10.21915/BIMAS.2022402
https://doi.org/10.21915/BIMAS.2022402
AMS Subject
Classification
34A08, 34B15, 47H08
Received
2022-05-10
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