Advances in Difference Equations
Volume 2011 (2011), Article ID 806729, 18 pages
doi:10.1155/2011/806729
Research Article

Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay

Fang Li

School of Mathematics, Yunnan Normal University, Kunming 650092, China

Received 4 September 2010; Revised 19 October 2010; Accepted 29 October 2010

Academic Editor: Toka Diagana

Copyright © 2011 Fang Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the existence and uniqueness of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with infinite delay in a Banach space 𝑋 . The existence of mild solution is obtained by using the theory of the measure of noncompactness and Sadovskii's fixed point theorem. An application of the abstract results is also given.