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

Abstract

In this paper, we investigate a class of fractional integro-differential equations given by d α x ( t ) d t α = A x ( t ) + f ( t , x ( t ) , G x ( 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.