Nonemptyness and compactness of the solution set for fractional evolution inclusions with non-instantaneous impulses

Abstract

In this article, we consider the nonemptyness and compactness of the solution set for a class of fractional semilinear evolution inclusions with non-instantaneous impulses in Banach spaces. To achieve this we use fixed point theorems with semigroup theory, upper semicontinuous multi-functions and measures of noncompactness.

Keywords

• Fractional evolution inclusions
• non-instantaneous impulses
• compactness