Weighted pseudo almost automorphic solutions to a semilinear fractional differential equation with Stepanov-like weighted pseudo almost automorphic nonlinear term

摘要

In this paper, we investigate some existence results of weighted pseudo almost automorphic solutions to a semilinear fractional differential equation in Banach spaces with Stepanov-like weighted pseudo almost automorphic nonlinear term. Our main results are based upon ergodicity and composition theorems of Stepanov-like weighted pseudo almost automorphic functions combined with fixed point techniques. (C) 2014 Elsevier Inc. All rights reserved.