Existence of mild solutions to Hilfer fractional evolution equations in Banach space

Abstract

In this paper, we investigate the existence of mild solutions to semilinear evolution fractional differential equations with non-instantaneous impulses, using the concepts of equicontinuous (α, β) -resolvent operator function Pα,β(t) and Kuratowski measure of non-compactness in Banach space Ω. © 2020, Tusi Mathematical Research Group (TMRG).