Existence of solutions for fractional differential equations with Ψ-Hilfer fractional derivative with nonlocal integral boundary conditions
by
Kamel Ali Khelil
Abdelouaheb Ardjouni
Adel Lachouri
Faycal Bouchelaghem
Vol. 17 No. 4 (2022) P.383~P.399
DOI: | https://doi.org/10.21915/BIMAS.2022402 |
| 10.21915/BIMAS.2022402 |
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.
KEYWORDS
Fractional differential equations, Ψ-Hilfer fractional derivatives, measure of noncompactness, fixed point, existence, Banach space
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34A08, 34B15, 47H08
MILESTONES
Received: 2022-05-10
Revised :
Accepted:
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