Existence results for impulsive fractional neutral integro-differential equations with nonlocal conditions

Abstract

We present a new prospective of the existence of a mild solution for impulsive fractional neutral integro-differential equations with nonlocal conditions in Banach spaces. In light of ideas for Banach contraction principle and Krasnoselskii-Schaefer's fixed point theorem, we build up the existence results with resolvent operator and h-norm. At last, a case is given to represent the acquired outcomes. © 2018 NSP Natural Sciences Publishing Cor.