Initial value problems for impulsive Caputo-Hadamard fractional differential inclusions

Abstract

In this paper we establish existence results for a class of initial value problem for Caputo-Hadamard impulsive fractional differential inclusions of order 1 < r ≤ 2, when the right hand side is convex, as well as nonconvex, valued. The topological structure of the set of solutions is also considered.