Fractional evolution equation nonlocal problems with noncompact semigroups

Abstract

This paper is concerned with the existence results of mild solutions to the nonlocal problem of fractional semilinear integro-differential evolution equations. New existence theorems are obtained by means of the fixed point theorem for condensing maps. The results extend and improve some related results in this direction.

Keywords

• fractional evolution equation
• mild solution
• nonlocal condition
• \(C_0\)-semigroup
• condensing maps
• measure of noncompactness