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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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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description 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.
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source Wiley Online Library Open Access; Publicly Available Content Database
subjects Applied mathematics
Banach spaces
Differential equations
Laplace transforms
Mathematical analysis
Mathematical functions
Mathematical models
Mathematics
Studies
title The Existence of Solutions for Impulsive Fractional Partial Neutral Differential Equations
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