Existence of mild solutions to semilinear fractional evolution equation using Krasnoselskii fixed point theorem

Abstract

This paper is devoted to study  the existence and stability  of mild  solutions for semilinear evolution equations with nonlocal final  conditions. The  analysis is  based on analytic semigroup theory, Krasnoselskii fixed point theorem, and a special probability density function.  An application to a time fractional diffusion equation with nonlocal final condition is also given.