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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