S -asymptotically ωω-periodic solutions of semilinear fractional integro-differential equations

We study SS-asymptotically ωω-periodic solutions of the semilinear fractional equation u′=∂−α+1Au+f(t,u),1<α<2u′=∂−α+1Au+f(t,u),1<α<2, considered in a Banach space XX, where AA is a linear operator of sectorial type μ<0μ<0.