Existence and continuous dependence of mild solutions for impulsive fractional integrodifferential equations in Banach spaces

Abstract

In the present paper, we investigate the existence, uniqueness, and continuous dependence of mild solutions of impulsive neutral integrodifferential equations with nonlocal conditions in Banach spaces. We use Banach contraction principle and the theory of fractional power of operators to obtain our results. An example is given to illustrate our results.