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

Abstract

<abstract><p>In the existing article, the existence of solutions to nonlinear fractional differential inclusions in the sense of the Atangana-Baleanu-Caputo ($ \mathcal{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.</p></abstract>