Optimal mild solutions and weighted pseudo-almost periodic classical solutions of fractional integro-differential equations

In this paper, we investigate a class of fractional integro-differential equations given by dαx(t)dtα=Ax(t)+f(t,x(t),Gx(t)). Our main results concern the existence, uniqueness of optimal mild solutions and weighted pseudo-almost periodic classical solutions. An example is given to illustrate our results.