“…A stochastic generalized Burgers equations driven by fractional noises has been studied in [24]. For more contributions about stochastic calculus with fractional noise, we refer the reader to [4,9,17,20,22,23,28,31] and the references therein.…”
In this paper, we consider the stochastic elastic equation driven by multiplicative multiparameter fractional noise. By using the Wiener chaos expansion and undetermined coefficient methods, we obtain the existence and uniqueness of the solution in a distribution space. The asymptotic behavior and the Hölder index of the solution are also estimated.
“…A stochastic generalized Burgers equations driven by fractional noises has been studied in [24]. For more contributions about stochastic calculus with fractional noise, we refer the reader to [4,9,17,20,22,23,28,31] and the references therein.…”
In this paper, we consider the stochastic elastic equation driven by multiplicative multiparameter fractional noise. By using the Wiener chaos expansion and undetermined coefficient methods, we obtain the existence and uniqueness of the solution in a distribution space. The asymptotic behavior and the Hölder index of the solution are also estimated.
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