De Moor, Sylvain - In: Stochastic Processes and their Applications 124 (2014) 3, pp. 1335-1367
We study the stochastic fractional diffusive limit of a kinetic equation involving a small parameter and perturbed by a smooth random term. Generalizing the method of perturbed test functions, under an appropriate scaling for the small parameter, and with the moment method used in the...