Nonlocal fractional differential inclusions with impulses at variable times

Abstract

In this paper, we study the existence of mild solutions for a fractional semi-linear differential inclusions posed in a Banach space with nonlocal conditions and impulses at variable times. The main existence result is obtained by using fractional calculus, measure of noncompactness, and multivalued fixed point theory. We study also the topological properties of the solution set.

Keywords

• fixed point theorem
• fractional derivatives
• differential inclusions
• boundary value problems with impulses
• topological properties