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Asymptotic stability of fractional impulsive neutral stochastic partial integro-differential equations with state-dependent delay

Authors :
Zuomao Yan
Hongwu Zhang
Source :
Electronic Journal of Differential Equations, Vol 2013, Iss 206,, Pp 1-29 (2013)
Publication Year :
2013
Publisher :
Texas State University, 2013.

Abstract

In this article, we study the asymptotical stability in p-th moment of mild solutions to a class of fractional impulsive partial neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces. We assume that the linear part of this equation generates an alpha-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence and asymptotic stability of solutions are derived by means of the Krasnoselskii-Schaefer type fixed point theorem and properties of the alpha-resolvent operator. An illustrative example is also provided.

Details

Language :
English
ISSN :
10726691
Volume :
2013
Issue :
206,
Database :
Directory of Open Access Journals
Journal :
Electronic Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
edsdoj.0ae414087549d6a8112b6ce93d7f1a
Document Type :
article