Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations

We study the existence and uniqueness of a weighted pseudo-almost periodic (mild) solution to the semilinear fractional equation ∂tαu=Au+∂tα−1f(⋅,u), 1<α<21<α<2, where AA is a linear operator of sectorial negative type. This article also deals with the existence of these types of solutions to abstract partial evolution equations.