Impulsive fractional differential inclusions involving the liouville-caputo - Hadamard fractional derivative

Abstract

In this paper we establish existence results for a class of initial value problems for impulsive fractional differential inclusions involving the Liouville-Caputo-Hadamard fractional derivative of order 0 < α ≤ 1, when the right hand side is convex, as well as nonconvex, valued. The topological structure of the set of solutions is also considered.