Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations

In this paper, we consider the existence of square-mean piecewise almost periodic solutions for impulsive fractional stochastic evolution equations involving Caputo fractional derivative. The main results are obtained by means of the theory of operators semi-group, fractional calculus, fixed point t...

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Bibliographic Details
Main Authors: Toufik Guendouzi, Lamia Bousmaha
Format: Article
Language:English
Published: Etamaths Publishing 2014-08-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/361
Description
Summary:In this paper, we consider the existence of square-mean piecewise almost periodic solutions for impulsive fractional stochastic evolution equations involving Caputo fractional derivative. The main results are obtained by means of the theory of operators semi-group, fractional calculus, fixed point technique and stochastic analysis theory and methods adopted directly from deterministic fractional equations. Some known results are improved and generalized.
ISSN:2291-8639