The existence of random pullback attractors on L2(O)for fractional-order stochastic reac-tion-diffusion equations with multiplicative noise and singular perturbations defined over a smooth bounded domain O⊂Rn was investigated.Due to the effects of singular perturbations and fractional operators on the system,it was not possible to obtain the compactness of the system using regular estimation.Therefore,the Aubin compactness theorem was used to obtain the asymptotic compactness of the stochastic dynamical system generated by the equation.
关键词
渐近紧性/D-拉回吸引子/奇异扰动/分数阶算子
Key words
asymptotic compactness/D-pullback attractor/singular perturbation/fractional order op-erator
维普
万方数据