Existence and Uniqueness of Asymptotically w-Periodic Solution for Fractional Semilinear Problem

Maghsoodi S and Neamaty A

Abstract

In this paper, we intend to show the fractional differential problem ( )= ( ) ( ) ( , ( )) t D u t A t u t f t u t α + , with condition 0<α<1, considered in a Banach space X, where A is a generator of evolution system U(t,s) and f is w-periodic limit function, has a unique asymptotically w-periodic solution.