Fractional stochastic partial differential equation for random tangent fields on the sphere
Fractional stochastic partial differential equation for random tangent fields on the sphere
This paper develops a fractional stochastic partial differential equation (SPDE) to model the evolution of a random tangent vector field on the unit sphere. The SPDE is governed by a fractional diffusion operator to model the Lévy-type behaviour of the spatial solution, a fractional derivative in time to depict the …