Stochastic partial differential equations driven by space-time fractional noises

Ying Hu (1) , Yiming Jiang (2) , Zhongmin Qian (3)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 School of Mathematical Sciences
3 MI - Mathematical Institute [Oxford]

In this paper, we study a class of stochastic partial differential equations (SPDEs) driven by space-time fractional noises. Our method consists in studying first the nonlocal SPDEs and showing then the convergence of the family of these equations and the limit gives the solution to the SPDE.

Domaines: Probabilités [math.PR]

Ying Hu, Yiming Jiang, Zhongmin Qian. Stochastic partial differential equations driven by space-time fractional noises. Stochastics and Dynamics, 2019, 19 (2), ⟨10.1142/S0219493719500126⟩. ⟨hal-01064283⟩