Stochastic fractional heat equation perturbed by general Gaussian and non-Gaussian noise

Article Type

Research Article

Publication Title

Statistics and Probability Letters

Abstract

In this work, we study the stochastic heat equation with Caputo derivative perturbed by a class of noises that include Gaussian noises and non-Gaussian noises. We have deduced the existence, uniqueness and pathwise spatial–temporal regularity properties of mild solutions to the corresponding non-linear time-fractional stochastic heat type equation.

DOI

10.1016/j.spl.2022.109381

Publication Date

5-1-2022

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