S-asymptotically ω-positive periodic solutions for a class of neutral fractional differential equations

In this paper, we investigate the existence of the S-asymptotically ω-positive periodic solutions to a class of semilinear neutral Caputo fractional differential equations with infinite delay, given by {Dtα(x(t)+F(t,xt))+A(x(t))=G(t,xt),t≥0,x(0)=φ∈B.The function is considered in a Banach space X for 0 < α   < 1. Here −A−A denotes the infinitesimal generator of an analytic semigroup {T(t)}t ≥ 0.