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Stochastic Analysis and Applications Volume 26, 2008 - Issue 2
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Original Articles

On a Class of Stochastic Anderson Models with Fractional Noises

Lijun Bo Department of Mathematics, Xidian University, Xi'an, China; School of Mathematical Sciences, Nankai University, Tianjin, China
,
Yiming Jiang School of Mathematical Sciences and Shenzhen School of Financial Engineering, Nankai University, Tianjin, ChinaCorrespondence[email protected]
&
Yongjin Wang School of Mathematical Sciences and Shenzhen School of Financial Engineering, Nankai University, Tianjin, China
Pages 256-273 | Received 27 Oct 2006, Accepted 13 Jun 2007, Published online: 10 Mar 2008

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Vivek Kumar & Ankik Kumar Giri. (2021) On a mixed fractional Burgers type equation with polynomial nonlinearity and perturbed by fractional Brownian sheet. Stochastic Analysis and Applications 39:4, pages 610-630.
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Suxin Wang, Yiming Jiang & Yongjin Wang. (2020) Stochastic partial differential equation with reflection driven by fractional noises. Stochastics 92:1, pages 46-66.
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Junfeng Liu & Ciprian A. Tudor. (2016) Analysis of the density of the solution to a semilinear SPDE with fractional noise. Stochastics 88:7, pages 959-979.
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Articles from other publishers (22)

Junfeng Liu, Zhi Wang & Zengwu Wang. (2022) Space-time fractional Anderson model driven by Gaussian noise rough in space. Stochastics and Dynamics 23:01.
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Qiyong Cao & Hongjun Gao. (2021) High order Anderson parabolic model driven by rough noise in space. Stochastics and Dynamics 22:01.
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Xiaodong Zhang & Junfeng Liu. (2022) Solving a class of high-order fractional stochastic heat equations with fractional noise. AIMS Mathematics 7:6, pages 10625-10650.
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Yuliya Mishura, Kostiantyn Ralchenko, Mounir Zili & Eya Zougar. (2020) Fractional stochastic heat equation with piecewise constant coefficients. Stochastics and Dynamics 21:01, pages 2150002.
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Junfeng Liu & Litan Yan. (2017) On a nonlinear stochastic pseudo-differential equation driven by fractional noise. Stochastics and Dynamics 18:01, pages 1850002.
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Dengfeng Xia, Litan Yan & Xiuwei Yin. (2018) ON A SEMILINEAR DOUBLE FRACTIONAL HEAT EQUATION DRIVEN BY FRACTIONAL BROWNIAN SHEET. Journal of Applied Analysis & Computation 8:1, pages 202-228.
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Dengfeng Xia & Litan Yan. (2017) Some properties of the solution to fractional heat equation with a fractional Brownian noise. Advances in Difference Equations 2017:1.
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Dengfeng Xia & Litan Yan. (2017) On a semilinear mixed fractional heat equation driven by fractional Brownian sheet. Boundary Value Problems 2017:1.
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Junfeng Liu & Ciprian A. Tudor. (2017) Generalized Anderson Model with Time-Space Multiplicative Fractional Noise. Results in Mathematics 72:4, pages 1967-1989.
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Junfeng Liu, Guangjun Shen & Yang Yang. (2017) Weak Convergence for the Fourth-Order Stochastic Heat Equation with Fractional Noises. Bulletin of the Malaysian Mathematical Sciences Society 40:2, pages 565-582.
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Dengfeng Xia, Litan Yan & Weiyin Fei. (2017) Mixed Fractional Heat Equation Driven by Fractional Brownian Sheet and Lévy Process. Mathematical Problems in Engineering 2017, pages 1-9.
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Juan Yang & Yiming Jiang. (2016) Moderate deviations for fourth-order stochastic heat equations with fractional noises. Stochastics and Dynamics 16:06, pages 1650022.
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Xiliang Fan & Chenggui Yuan. (2016) Lyapunov exponents of PDEs driven by fractional noise with Markovian switching. Statistics & Probability Letters 110, pages 39-50.
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Xichao Sun & Ming Li. (2015) Stochastic Fractional Heat Equations Driven by Fractional Noises. Mathematical Problems in Engineering 2015, pages 1-16.
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JunFeng Liu & LiTan Yan. (2013) On a semilinear stochastic partial differential equation with double-parameter fractional noises. Science China Mathematics 57:4, pages 855-872.
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Xichao Sun, Zhi Wang & Jing Cui. (2014) On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in . Abstract and Applied Analysis 2014, pages 1-10.
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Yiming Jiang, Xingchun Wang & Yongjin Wang. (2012) On a stochastic heat equation with first order fractional noises and applications to finance. Journal of Mathematical Analysis and Applications 396:2, pages 656-669.
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Yiming Jiang, Tingting Wei & Xiaowen Zhou. (2012) Stochastic generalized Burgers equations driven by fractional noises. Journal of Differential Equations 252:2, pages 1934-1961.
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Yiming Jiang, Kehua Shi & Yongjin Wang. (2009) Stochastic fractional Anderson models with fractional noises. Chinese Annals of Mathematics, Series B 31:1, pages 101-118.
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Yi Ming Jiang, Ke Hua Shi & Yong Jin Wang. (2010) Large deviation principle for the fourth-order stochastic heat equations with fractional noises. Acta Mathematica Sinica, English Series 26:1, pages 89-106.
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LIJUN BO, YIMING JIANG & YONGJIN WANG. (2011) STOCHASTIC CAHN–HILLIARD EQUATION WITH FRACTIONAL NOISE. Stochastics and Dynamics 08:04, pages 643-665.
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Lijun Bo, Kehua Shi & Yongjin Wang. (2008) Jump type Cahn-Hilliard equations with fractional noises. Chinese Annals of Mathematics, Series B 29:6, pages 663-678.
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