Solving a class of high-order fractional stochastic heat equations with fractional noise

Solving a class of high-order fractional stochastic heat equations with fractional noise

This paper is concerned with a class of high-order fractional stochastic partial differential equations driven by fractional noise. We firstly prove the existence and uniqueness of the mild solution and then study the Hölder continuity of the solution with respect to space and time variables. In add...

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Bibliographic Details
Main Authors: Xiaodong Zhang, Junfeng Liu
Format: Article
Language:English
Published: AIMS Press 2022-03-01
Series:AIMS Mathematics
Subjects:
fractional differential operator
stochastic partial differential equation
fractional noise
hölder continuity
malliavin calculus
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022593?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022593?viewType=HTML

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