Electron. J. Diff. Equ.,
Vol. 2013 (2013), No. 206, pp. 129.
Asymptotic stability of fractional impulsive neutral stochastic
partial integrodifferential equations with statedependent delay
Zuomao Yan, Hongwu Zhang
Abstract:
In this article, we study the asymptotical stability in
pth moment of mild solutions to a class of fractional impulsive
partial neutral stochastic integrodifferential equations
with statedependent delay in Hilbert spaces.
We assume that the linear part of this equation generates an
alpharesolvent operator and transform it into an integral equation.
Sufficient conditions for the existence and asymptotic stability of
solutions are derived by means of the KrasnoselskiiSchaefer type
fixed point theorem and properties of the alpharesolvent operator.
An illustrative example is also provided.
Submitted April 28, 2013. Published September 18, 2013.
Math Subject Classifications: 34A37, 60H15, 35R60, 93E15, 26A33.
Key Words: Asymptotic stability; impulsive neutral integrodifferential equations;
stochastic integrodifferential equations; alpharesolvent operator.
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Zuomao Yan
Department of Mathematics, Hexi University
Zhangye, Gansu 734000, China
email: yanzuomao@163.com


Hongwu Zhang
Department of Mathematics, Hexi University
Zhangye, Gansu 734000, China
email: zhhongwu@163.com

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