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Small stochastic perturbations in a general fractional kinetic equation

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In this paper we study some properties of the density for the law of the solution to a
generalized multidimensional fractional kinetic equation driven by a Gaussian noise, white in time and correlated in space. The diﬀusion operator is the composition between the Bessel and Riesz potentials with any fractional parameters. We also establish Varadhan’s estimates for the solution to the equation obtained by perturbing the noise.

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ESAIM: Probability and Statistics (ESAIM: P&S), 2015, vol. 19, p. 81-99

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Small stochastic perturbations in a general fractional kinetic equation