Abstract and Applied Analysis
Volume 2011 (2011), Article ID 952782, 20 pages
Research Article

An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions

1School of Mathematics, Yunnan Normal University, Kunming 650092, China
2Department of Mathematics, Morgan State University, 1700 East Cold Spring Lane, Baltimore, MD 21251, USA

Received 27 July 2011; Revised 14 September 2011; Accepted 14 September 2011

Academic Editor: Svatoslav Staněk

Copyright © 2011 Fang Li and Gaston M. N'Guérékata. 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.


We study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X. An existence result on the mild solution is obtained by using the theory of the measures of noncompactness and the theory of condensing maps. Two examples are given to illustrate the existence theorem.