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

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

Maria Alessandra Ragusa
2022

Abstract

n the existing article, the existence of solutions to nonlinear fractional differ- ential inclusions in the sense of the Atangana-Baleanu-Caputo (ABC) fractional deriva- tives in Banach space is studied. The investigation of the main results relies on the set- valued issue of M ̈onch fixed point theorem incorporated with the Kuratowski measure of non-compactness. A simulated example is proposed to explain the obtained results.
Atangana-Baleanu fractional derivatives; Measure of non-compactness; M ̈onch fixed point theorem.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/536957
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