Existence results for higher order fractional differential equations with integral boundary conditions via Kuratowski measure of noncompactnes
by Adel Lachouri   Abdelouaheb Ardjouni   Nesrine Gouri   Kamel Ali Khelil  

Vol. 16 No. 4 (2021) P.289~P.302

DOI:	https://doi.org/10.21915/BIMAS.2021401
	10.21915/BIMAS.2021401

ABSTRACT

In this work, we study the existence results for higher order fractional differential equations involving the Caputo-Hadamard fractional derivative subject to integral boundary conditions (IBCs for short). Our results are obtained by using the technique of measures of noncompactness combined with fixed point theorem of Monch. An example demonstrating the effectiveness of the theoretical findings is presented.

KEYWORDS
Fractional differential equations, Caputo-Hadamard fractional derivative, measure of noncompactness, Monch fixed point theorem, existence, Banach space

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34A08, 34B15, 47H08

MILESTONES

Received: 2021-06-11
Revised :
Accepted: 2021-11-14

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