Advances in Difference Equations
Volume 2011 (2011), Article ID 963463, 15 pages
doi:10.1155/2011/963463
Research Article

Existence of Mild Solutions to Fractional Integrodifferential Equations of Neutral Type with Infinite Delay

Fang Li1 and Jun Zhang2

1School of Mathematics, Yunnan Normal University, Kunming 650092, China
2Department of Mathematics, Central China Normal University, Wuhan 430079, China

Received 5 December 2010; Accepted 30 January 2011

Academic Editor: Jin Liang

Copyright © 2011 Fang Li and Jun Zhang. 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 solvability of the fractional integrodifferential equations of neutral type with infinite delay in a Banach space 𝑋 . An existence result of mild solutions to such problems is obtained under the conditions in respect of Kuratowski's measure of noncompactness. As an application of the abstract result, we show the existence of solutions for an integrodifferential equation.