Moderate Deviations for Stochastic Fractional Heat Equation Driven by Fractional Noise

Sun Xichao; Li Ming; Zhao Wei

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Moderate Deviations for Stochastic Fractional Heat Equation Driven by Fractional Noise

机译：分数噪声驱动的随机分数热方程的适度偏差

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摘要

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.

机译：我们考虑一类由分数噪声驱动的随机分数热方程。给出了中央极限定理，并建立了中等偏差原理。

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来源
《Complexity 》 |2018年第1期| 共17页
作者
Sun Xichao; Li Ming; Zhao Wei;
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作者单位

Bengbu Univ Coll Sci 1866 Caoshan Rd Bengbu 233030 Peoples R China;

East China Normal Univ Sch Informat Sci &

Technol 500 Dong Chuan Rd Shanghai 200241 Peoples R China;

Amer Univ Sharjah POB 26666 Sharjah U Arab Emirates;

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正文语种 eng
中图分类大系统理论 ;
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专利

1. Moderate Deviations for Stochastic Fractional Heat Equation Driven by Fractional Noise [J] . Sun Xichao, Li Ming, Zhao Wei Complexity . 2018 ,第1期

机译：由分数噪声驱动的随机分数热方程的适度偏差
2. Moderate Deviations for Stochastic Fractional Heat Equation Driven by Fractional Noise [J] . Sun Xichao, Li Ming, Zhao Wei Complexity . 2018 ,第2期

机译：分数噪声驱动的随机分数热方程的适度偏差
3. Moderate deviations for fourth-order stochastic heat equations with fractional noises [J] . Yang Juan, Jiang Yiming Stochastics and dynamics . 2016 ,第6期

机译：具有分数噪声的四阶随机热方程的中等偏差
4. Large Deviations for Stochastic Fractional Differential Equations [C] . Murugan Suvinthra Conference on non-integer order calculus and its applications . 2016

机译：随机分数阶微分方程的大偏差
5. Applications of the Gaussian stochastic analysis of fractional Brownian noise to regularity of stochastic heat equations and to portfolio optimization. [D] . Sarol, Yalcin. 2005

机译：分数布朗噪声的高斯随机分析在随机热方程的规律性和投资组合优化中的应用。
6. Analytical Solutions for Multi-Time Scale Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion and Their Applications [O] . Xiao-Li Ding, Juan J. Nieto 2018

机译：分数褐色运动及其应用驱动的多时间尺度分数随机微分方程的分析解
7. Moderate Deviations for Stochastic Fractional Heat Equation Driven by Fractional Noise [O] . Xichao Sun, Ming Li, Wei Zhao 2018

机译：分数噪声驱动的随机分数热方程的适度偏差
8. Stochastic Evolution Equations Driven by Fractional Noises. [R] . Nualart, D. 2016

机译：分数噪声驱动的随机发展方程。

Moderate Deviations for Stochastic Fractional Heat Equation Driven by Fractional Noise

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