Stochastic fractional diffusion equations with Gaussian noise rough in space

Yuhui Guo, Jian Song, Xiaoming Song

In this article, we consider the following stochastic fractional diffusion equation \begin{equation*} \left(\partial^β+\dfracν{2}\left(-Δ\right)^{α/ 2}\right) u(t, x)= λ\: I_{0_+}^…