Solving a class of high-order fractional stochastic heat equations with fractional noise-Reference-Cited by-同舟云学术

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

Published:2022 Issue:6 Volume:7 Page:10625-10650
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Zhang Xiaodong¹,Liu Junfeng²

Affiliation:

1. School of Information Engineering, Nanjing Audit University, Nanjing 211815, China

2. School of Statistics and Data Science, Nanjing Audit University, Nanjing 211815, China

Abstract

<abstract><p>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 addition, we also prove the existence and Gaussian-type estimates for the density of the solution by using the techniques of Malliavin calculus.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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