期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 75, 期 7, 页码 3339-3347出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2011.12.028
关键词
Fractional stochastic differential equation; Existence result; Square-mean pseudo almost automorphic; Mild solution
资金
- Korean Research Foundation
- Korean Government [KRF 2011-0005449]
Fractional stochastic differential equations have gained considerable importance due to their application in various fields of science and engineering. This paper is concerned with the square-mean pseudo almost automorphic solutions for a class of fractional stochastic differential equations in a Hilbert space. The main objective of this paper is to establish the existence and uniqueness of square-mean pseudo almost automorphic mild solutions to a linear and semilinear case of these equations. A new set of sufficient conditions is obtained to achieve the required result by using the stochastic analysis theory and fixed point strategy. Finally, an example is provided to illustrate the obtained theory. (C) 2011 Elsevier Ltd. All rights reserved.
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