Abstract:The aim of this paper is to prove the existence and uniqueness of mild solution of a class of l nonlinear fractional integrodifferential equations , , ," in a Banach space #, where 0 $ % $ 1. Results are obtained by fixed point theorem. The results are established by using Krasnoselskii's fixed point theorem and the contraction mapping principle.

The existence of mild solutions for fractional semilinear integrodifferential equations with nonlocal conditions in separable Banach spaces is studied in this article. The result is established by Hausdorff measure of noncompactness and Schauder fixed point theorem.

This paper is concerned with the proof for the existence and uniqueness of local mild and classical solutions of a class of nonlinear fractional evolution integrodifferential systems with nonlocal conditions in Banach spaces based on the theory of resolvent operators, the fractional powers of operators, fixed point technique and the Gelfand-Shilov principle.

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The aim of this paper is to prove the existence of uniqueness of mild solutions of a class of nonlocal fractional nonlinear integrodifferential equations {