  In this work, an inverse problem in the fractional diffusion equation with
random source is considered. Statistical moments are used of the realizations
of single point observation $u(x_0,t,\omega).$ We build the representation of
the solution $u$ in integral sense, then prove some theoretical results as
uniqueness and stability. After that, we establish a numerical algorithm to
solve the unknowns, where the mollification method is used.
