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We study the existence and uniqueness of mild solution of a class of nonlinear fractional integrodifferential equations dqu(t)/dtq+Au(t)=f(t,u(t))+&#x222B;0ta(t&#x2212;s)g(s,u(s))ds, t&#x2208;[0,T], u(0)=u0, in a Banach space X, where 0&#x003C;q&#x003C;1. New results are obtained by fixed point theorem. An application of the abstract results is also given

Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations