Existence of mild solutions to Hilfer fractional evolution equations in Banach space (1812.02213v1)

Abstract: In this paper, we investigate the existence of mild solutions to Hilfer fractional equation of semi-linear evolution with non-instantaneous impulses, using the concepts of equicontinuous $C_{0}$-semigroup and Kuratowski measure of non-compactness in Banach space $\Omega$.