Profilakticheskaya Meditsina.
Media Sphera.
Vol. 25.
2022.
P. 60-69
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. © 2022 the Author(s), licensee AIMS Press.