Attractors for Fractional-order Stochastic Reaction-diffusion Equations with Multiplicative Noise and Singular Perturbation
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.
asymptotic compactnessD-pullback attractorsingular perturbationfractional order op-erator