ABSTRACT FRACTIONAL DIFFERENTIAL INCLUSIONS WITH HILFER DERIVATIVES

In this paper, we consider the abstract fractional differential inclusions with Hilfer derivatives. We essentially apply some known results about the \(\varvec{(a, k)}\) $\mathbf{(}\mathit{a}\mathbf{,}\mathit{k}\mathbf{)}$ -regularized \(\varvec{C}\) $\mathit{C}$ -resolvent operator families subgenerated by multivalued linear operators, following a completely new line of reasoning. We also provide some new results about the existence and uniqueness of asymptotically almost periodic type solutions to the abstract fractional differential inclusions with Hilfer derivatives.