Weighted Stepanov-like pseudo-almost automorphic mild solutions for semilinear fractional differential equations

摘要

This work is concerned with the existence and uniqueness of weighted Stepanov-like pseudo-almost automorphic mild solutions for a class of semilinear fractional differential equations, D t α x ( t ) = A x ( t ) + D t α ? 1 F ( t , x ( t ) ) $D_{t}^{lpha}x(t)=Ax(t)+D_{t}^{lpha-1}F(t,x(t))$ , t ∈ R $tin mathbb{R}$ , where 1 < α < 2 $1