Identification of source term for the Rayleigh-Stokes problem with Gaussian random noise

In this paper, we study an inverse source problem for the Rayleigh-Stokes problem for a generalized second-grade fluid with a fractional derivative model. The problem is severely ill-posed in the sense of Hadamard. To regularize the unstable solution, we apply a general filter method for constructing regularized solution, and the convergence rate of this method also has been investigated.