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

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 condensin...

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Bibliographic Details
Main Authors: Fang Li, Gaston M. N'Guérékata
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/952782
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Summary: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.
ISSN:1085-3375
1687-0409