Fractional SPDEs driven by spatially correlated noise: existence of the solution and smoothness of its density

Lahcen Boulanba, M'hamed Eddahbi, Mohamed Mellouk

In this paper we study a class of stochastic partial differential equations in the whole space ${\mathbb{R}}^d$, with arbitrary dimension $d\ge 1$, driven by a Gaussian noise whit…