期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 81, 期 -, 页码 70-86出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2012.10.009
关键词
Existence result; Fractional stochastic differential equation; Resolvent operators
资金
- National Natural Science Foundation of China [10901003, 11126238]
- Distinguished Young Scholars of Anhui Province [1108085J08]
- Key Project of Chinese Ministry of Education [211077]
- Anhui Provincial Natural Science Foundation [10040606Q30]
The fractional stochastic differential equations have wide applications in various fields of science and engineering. This paper addresses the issue of existence of mild solutions for a class of fractional stochastic differential equations with impulses in Hilbert spaces. Using fractional calculations, fixed point technique, stochastic analysis theory and methods adopted directly from deterministic fractional equations, new set of sufficient conditions are formulated and proved for the existence of mild solutions for the fractional impulsive stochastic differential equation with infinite delay. Further, we study the existence of solutions for fractional stochastic semilinear differential equations with nonlocal conditions. Examples are provided to illustrate the obtained theory. (C) 2012 Elsevier Ltd. All rights reserved.
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