MMN-2241
Caputo fractional differential inclusions of arbitrary order with nonlocal integro-multipoint boundary conditions
Bashir Ahmad; Doa'a Garout; Sotiris K. Ntouyas; Ahmed Alsaedi;Abstract
We study a new class of boundary value problems
of Caputo type fractional differential inclusions supplemented with nonlocal integro-multipoint boundary conditions. An existence result for the problem with convex valued (multivalued) map is obtained via nonlinear alternative of Leray-Schauder type, while the existence of solutions for the problem involving nonconvex valued map is established by means of Wegrzyk's fixed point theorem. Our results are well illustrated with examples.
Vol. 20 (2019), No. 2, pp. 683-699