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