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On a class of stochastic Anderson models with fractional noises. (English) Zbl 1136.60345
Summary: We are concerned with a class of one-dimensional fourth order stochastic Anderson models with double-parameter fractional noises with Hurst parameter $$H = (h_1, h_2)\in (\frac 1 2 , 1)\times (\frac 1 2 , 1)$$. The unique solution is constructed for the model in some appropriate Hilbert space. On the other hand, we shall estimate the Lyapunov exponent of the solution and study its regularity.

##### MSC:
 60H15 Stochastic partial differential equations (aspects of stochastic analysis) 34A34 Nonlinear ordinary differential equations and systems, general theory 49N60 Regularity of solutions in optimal control
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##### References:
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