Moderate Deviations for Stochastic Fractional Heat Equation Driven by Fractional Noise-Reference-Cited by-同舟云学术

Moderate Deviations for Stochastic Fractional Heat Equation Driven by Fractional Noise

Published:2018-07-10 Issue: Volume:2018 Page:1-17
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Sun Xichao¹^ORCID,Li Ming²^ORCID,Zhao Wei³

Affiliation:

1. College of Science, Bengbu University, 1866 Caoshan Rd., Bengbu 233030, China

2. School of Information Science and Technology, East China Normal University, No. 500, Dong-Chuan Road, Shanghai 200241, China

3. American University of Sharjah, P.O. Box 26666, Sharjah, UAE

Abstract

We consider a class of stochastic fractional heat equations driven by fractional noises. A central limit theorem is given, and a moderate deviation principle is established.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2018/7402764.pdf

Reference31 articles.

1. Random Perturbations of Dynamical Systems

2. Large deviations for a Burgers’-type SPDE

3. Large Deviation Principle for a Stochastic Heat Equation With Spatially Correlated Noise

4. Large deviations for a fractional stochastic heat equation in spatial dimension ℝd driven by a spatially correlated noise

5. Large deviation principle for the fourth-order stochastic heat equations with fractional noises

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