The Existence of Solutions for Impulsive Fractional Partial Neutral Differential Equations

This paper deals with the existence of mild solutions of a class of impulsive fractional partial neutral semilinear differential equations. A series of analytical results about the mild solutions are obtained by using fixed-point methods. Then, we present an example to further illustrate the applica...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2013-01, Vol.2013 (2013), p.1-9
Main Authors: Shu, Xiao-Bao, Xu, Fei
Format: Article
Language:English
Subjects:
Applied mathematics
Banach spaces
Differential equations
Laplace transforms
Mathematical analysis
Mathematical functions
Mathematical models
Mathematics
Studies
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Summary:This paper deals with the existence of mild solutions of a class of impulsive fractional partial neutral semilinear differential equations. A series of analytical results about the mild solutions are obtained by using fixed-point methods. Then, we present an example to further illustrate the applications of these results.
ISSN:2314-4629
2314-4785
DOI:10.1155/2013/147193