Back to Search Start Over

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

Authors :
Abbas, Mohamed I.
Ragusa, Maria Alessandra
Source :
AIMS Mathematics; 2022, Vol. 7 Issue 11, p20328-20340, 13p
Publication Year :
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 Monch fixed point theorem incorporated with the Kuratowski measure of non-compactness. A simulated example is proposed to explain the obtained results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24736988
Volume :
7
Issue :
11
Database :
Complementary Index
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
159967350
Full Text :
https://doi.org/10.3934/math.20221113