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2021 / December Volume 16 No.4
Existence results for higher order fractional differential equations with integral boundary conditions via Kuratowski measure of noncompactnes
Published Date
2021 / December
Title
Existence results for higher order fractional differential equations with integral boundary conditions via Kuratowski measure of noncompactnes
Author
Adel Lachouri, Abdelouaheb Ardjouni, Nesrine Gouri, Kamel Ali Khelil
Keyword
Fractional differential equations, Caputo-Hadamard fractional derivative, measure of noncompactness, Monch fixed point theorem, existence, Banach space
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Pagination
289-302
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.
DOI
10.21915/BIMAS.2021401
https://doi.org/10.21915/BIMAS.2021401
AMS Subject
Classification
34A08, 34B15, 47H08
Received
2021-06-11
Accepted
2021-11-14
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