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

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.

Keywords

• atangana-baleanu fractional derivatives
• measure of non-compactness
• mönch fixed point theorem