摘要：In this article, we study the controllability for impulsive fractional integro-differential evolution equation in a Banach space. The discussions are based on the Mönch fixed point theorem as well as the theory of fractional calculus and the $( lpha , eta )$ -resolvent operator, we concern with the term $u'( ot )$ and finding a control v such that the mild solution satisfies $u(b)=u_{b}$ and $u'(b)=u'_{b}$ . Finally, we present an application to support the validity study.
