In this talk we study the existence and convergence of random
attractors of the fractional nonclassical diffusion equations driven by nonlinear colored noise. Both existence and uniqueness of pullback random attractors are established for the equations with a wide class of nonlinear diffusion terms. In the case of additive noise, the upper semi-continuity of these attractors is proved as the correlation time of the colored noise approaches zero. The methods of uniform tail-estimate and spectral decomposition are employed to obtain the pullback asymptotic compactness of the solutions in order to
overcome the non-compactness of the Sobolev embedding on an unbounded domain.