
Previous Article
Ergodicity for a class of Markov processes and applications to randomly forced PDE'S. II
 DCDSB Home
 This Issue

Next Article
Large deviations for stochastic systems with memory
Time regularity of the evolution solution to fractional stochastic heat equation
1.  Department of Mathematics, Purdue University, 150 N. University St, West Lafayette, IN 479072067, United States, United States 
[1] 
Guolian Wang, Boling Guo. Stochastic Kortewegde Vries equation driven by fractional Brownian motion. Discrete & Continuous Dynamical Systems  A, 2015, 35 (11) : 52555272. doi: 10.3934/dcds.2015.35.5255 
[2] 
Yong Xu, Rong Guo, Di Liu, Huiqing Zhang, Jinqiao Duan. Stochastic averaging principle for dynamical systems with fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2014, 19 (4) : 11971212. doi: 10.3934/dcdsb.2014.19.1197 
[3] 
Yong Xu, Bin Pei, Rong Guo. Stochastic averaging for slowfast dynamical systems with fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2015, 20 (7) : 22572267. doi: 10.3934/dcdsb.2015.20.2257 
[4] 
Shaokuan Chen, Shanjian Tang. Semilinear backward stochastic integral partial differential equations driven by a Brownian motion and a Poisson point process. Mathematical Control & Related Fields, 2015, 5 (3) : 401434. doi: 10.3934/mcrf.2015.5.401 
[5] 
Litan Yan, Xiuwei Yin. Optimal error estimates for fractional stochastic partial differential equation with fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 615635. doi: 10.3934/dcdsb.2018199 
[6] 
María J. Garrido–Atienza, Kening Lu, Björn Schmalfuss. Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2010, 14 (2) : 473493. doi: 10.3934/dcdsb.2010.14.473 
[7] 
Jin Li, Jianhua Huang. Dynamics of a 2D Stochastic nonNewtonian fluid driven by fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2012, 17 (7) : 24832508. doi: 10.3934/dcdsb.2012.17.2483 
[8] 
Ahmed Boudaoui, Tomás Caraballo, Abdelghani Ouahab. Stochastic differential equations with noninstantaneous impulses driven by a fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2017, 22 (7) : 25212541. doi: 10.3934/dcdsb.2017084 
[9] 
Bin Pei, Yong Xu, Yuzhen Bai. Convergence of pth mean in an averaging principle for stochastic partial differential equations driven by fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 00. doi: 10.3934/dcdsb.2019213 
[10] 
Tianlong Shen, Jianhua Huang, Caibin Zeng. Time fractional and space nonlocal stochastic boussinesq equations driven by gaussian white noise. Discrete & Continuous Dynamical Systems  B, 2018, 23 (4) : 15231533. doi: 10.3934/dcdsb.2018056 
[11] 
Yan Wang, Lei Wang, Yanxiang Zhao, Aimin Song, Yanping Ma. A stochastic model for microbial fermentation process under Gaussian white noise environment. Numerical Algebra, Control & Optimization, 2015, 5 (4) : 381392. doi: 10.3934/naco.2015.5.381 
[12] 
Hongjun Gao, Fei Liang. On the stochastic beam equation driven by a NonGaussian Lévy process. Discrete & Continuous Dynamical Systems  B, 2014, 19 (4) : 10271045. doi: 10.3934/dcdsb.2014.19.1027 
[13] 
Defei Zhang, Ping He. Functional solution about stochastic differential equation driven by $G$Brownian motion. Discrete & Continuous Dynamical Systems  B, 2015, 20 (1) : 281293. doi: 10.3934/dcdsb.2015.20.281 
[14] 
Filomena Feo, Pablo Raúl Stinga, Bruno Volzone. The fractional nonlocal OrnsteinUhlenbeck equation, Gaussian symmetrization and regularity. Discrete & Continuous Dynamical Systems  A, 2018, 38 (7) : 32693298. doi: 10.3934/dcds.2018142 
[15] 
S. Kanagawa, K. Inoue, A. Arimoto, Y. Saisho. Mean square approximation of multi dimensional reflecting fractional Brownian motion via penalty method. Conference Publications, 2005, 2005 (Special) : 463475. doi: 10.3934/proc.2005.2005.463 
[16] 
Stefan Koch, Andreas Neuenkirch. The Mandelbrotvan Ness fractional Brownian motion is infinitely differentiable with respect to its Hurst parameter. Discrete & Continuous Dynamical Systems  B, 2019, 24 (8) : 38653880. doi: 10.3934/dcdsb.2018334 
[17] 
Kolade M. Owolabi. Numerical analysis and pattern formation process for spacefractional superdiffusive systems. Discrete & Continuous Dynamical Systems  S, 2019, 12 (3) : 543566. doi: 10.3934/dcdss.2019036 
[18] 
Zhongming Chen, Liqun Qi. Circulant tensors with applications to spectral hypergraph theory and stochastic process. Journal of Industrial & Management Optimization, 2016, 12 (4) : 12271247. doi: 10.3934/jimo.2016.12.1227 
[19] 
Tadahisa Funaki, Yueyuan Gao, Danielle Hilhorst. Convergence of a finite volume scheme for a stochastic conservation law involving a $Q$brownian motion. Discrete & Continuous Dynamical Systems  B, 2018, 23 (4) : 14591502. doi: 10.3934/dcdsb.2018159 
[20] 
Yong Ren, Xuejuan Jia, Lanying Hu. Exponential stability of solutions to impulsive stochastic differential equations driven by $G$Brownian motion. Discrete & Continuous Dynamical Systems  B, 2015, 20 (7) : 21572169. doi: 10.3934/dcdsb.2015.20.2157 
2018 Impact Factor: 1.008
Tools
Metrics
Other articles
by authors
[Back to Top]