Existence and Controllability Results for Fractional Impulsive Integrodifferential Systems in Banach Spaces

摘要

We firstly study the existence of PC-mild solutions for impulsive fractional semilinear integrodifferential equations and then present controllability results for fractional impulsive integrodifferential systems in Banach spaces. The method we adopt isbased on fixed point theorem, semigroup theory, and generalized Bellman inequality. The results obtained in this paper improve andextend some known results. At last, an example is presented to demonstrate the applications of our main results.