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Nonlinear fractional differential inclusions with non-singular Mittag-Leffler kernel

Authors :
Mohamed I. Abbas
Maria Alessandra Ragusa
Source :
AIMS Mathematics, Vol 7, Iss 11, Pp 20328-20340 (2022)
Publication Year :
2022
Publisher :
AIMS Press, 2022.

Abstract

In the existing article, the existence of solutions to nonlinear fractional differential inclusions in the sense of the Atangana-Baleanu-Caputo (ABC) fractional derivatives in Banach space is studied. The investigation of the main results relies on the set-valued issue of Mönch fixed point theorem incorporated with the Kuratowski measure of non-compactness. A simulated example is proposed to explain the obtained results.

Details

Language :
English
ISSN :
24736988
Volume :
7
Issue :
11
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.4fad13c506074fdca547692d22979c86
Document Type :
article
Full Text :
https://doi.org/10.3934/math.20221113?viewType=HTML