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- W2080771073 abstract "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." @default.
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- W2080771073 date "2012-05-01" @default.
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- W2080771073 title "Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations" @default.
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- W2080771073 doi "https://doi.org/10.1016/j.na.2011.12.028" @default.
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