Weighted pseudo almost automorphic solution of an integro-differential equation, with weighted Stepanov-like pseudo almost automorphic forcing term

In this paper, we ensure existence and uniqueness of weighted pseudo almost automorphic solution of an integrodifferential equation (with weighted S^p-pseudo almost automorphic forcing term) in a Banach space X. We use fractional powers of operators and the Banach fixed point theorem in order to obtain our result. Very recently introduced concept of ''weighted S^p-pseudo almost automorphy'' has been used here.

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