Existence of mild solution to the fractional order impulsive nonlinear control system

Abstract

In this paper we study the existence of mild solution to the fractional impulsive nonlinear mixedtype integro-differential partial equation with neutral infinite delay and nonlocal conditions in a Banach space. As a prove of this investigation we address some important concepts of work such as fractional calculus, semigroup of operators and Krasnoselskii's fixed point theorem.