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Averaging principle
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On a Class of Distribution Dependent Stochastic Differential Equations Driven by Time-Changed Brownian Motions
Journal article
Applied Mathematics and Optimization,2023, volume: 88, issue: 2
Authors:
Shen, Guangjun
;
Zhang, Tingting
;
Song, Jie
;
Wu, Jianglun
Favorite
  |  
View/Download:3/0
  |  
Submit date:2023/12/20
Averaging principle
Distribution dependent stochastic differential equations
Stability
Time-changed Brownian motions
Stochastic averaging principle for multi-valued McKean–Vlasov stochastic differential equations
Journal article
Applied Mathematics Letters,2023, volume: 141
Authors:
Shen, Guangjun
;
Xiang, Jie
;
Wu, Jianglun
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  |  
View/Download:31/0
  |  
Submit date:2023/05/30
Multi-valued McKean–Vlasov stochastic differential equations
Stochastic averaging principle
Stochastic Averaging Principle for Two-Time-Scale SDEs with Distribution-Dependent Coefficients Driven by Fractional Brownian Motion
Journal article
Communications in Mathematics and Statistics,2023
Authors:
Shen, Guangjun
;
Yin, Jiayuan
;
Wu, Jianglun
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View/Download:13/0
  |  
Submit date:2023/12/20
Averaging principle
Fast–slow systems
Fractional Brownian motion
Standard Brownian motion
Well-Posedness for Stochastic Fractional Navier–Stokes Equation in the Critical Fourier–Besov Space
Journal article
Journal of Theoretical Probability,2022, volume: 35, issue: 4, pages: 2940-2959
Authors:
Yin, Xiuwei
;
Wu, Jianglun
;
Shen, Guangjun
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View/Download:2/0
  |  
Submit date:2023/05/30
Fourier–Besov spaces
Stochastic fractional Navier–Stokes equation
Strong solutions
Stability of a Non-Lipschitz Stochastic Riemann-Liouville Type Fractional Differential Equation Driven by Lévy Noise
Journal article
Acta Applicandae Mathematicae,2022, volume: 180, issue: 1
Authors:
Shen, Guangjun
;
Wu, Jianglun
;
Xiao, Ruidong
;
Zhan, Weijun
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View/Download:2/0
  |  
Submit date:2023/05/30
Almost sure exponential stability
Fractional derivative of Riemann-Liouville type
Lévy noise
Moment exponential stability
Stochastic fractional differential equations with non-Lipschitz coefficients
Stochastic stability
The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation
Journal article
Analysis and Applications,2022, volume: 20, issue: 4, pages: 777-789
Authors:
Yin, Xiuwei
;
Shen, Guangjun
;
Wu, Jianglun
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View/Download:2/0
  |  
Submit date:2023/05/30
exponential stability
Quasilinear stochastic partial differential equations
stabilization
Averaging principle for distribution dependent stochastic differential equations driven by fractional Brownian motion and standard Brownian motion
Journal article
Journal of Differential Equations,2022, volume: 321, pages: 381-414
Authors:
Shen, Guangjun
;
Xiang, Jie
;
Wu, Jianglun
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View/Download:2/0
  |  
Submit date:2023/05/30
Distribution dependent stochastic differential equations
Fractional Brownian motion
Stochastic averaging principle
An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise
Journal article
Stochastics and Dynamics,2022, volume: 22, issue: 4
Authors:
Shen, Guangjun
;
Wu, Jianglun
;
Xiao, Ruidong
;
Yin, Xiuwei
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View/Download:2/0
  |  
Submit date:2023/05/30
Averaging principle
fractional derivative
Lévy noise
variable delays
An Averaging Principle for Stochastic Differential Delay Equations Driven by Time-Changed Lévy Noise
Journal article
Acta Mathematica Scientia,2022, volume: 42, issue: 2, pages: 540-550
Authors:
Shen, Guangjun
;
Xu, Wentao
;
Wu, Jianglun
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  |  
Submit date:2023/05/30
34C29
60H10
Averaging principle
stochastic differential equation
time-changed Lévy noise
variable delays
Stochastic averaging principle for distribution dependent stochastic differential equations
Journal article
Applied Mathematics Letters,2022, volume: 125
Authors:
Shen, Guangjun
;
Song, Jie
;
Wu, Jianglun
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View/Download:2/0
  |  
Submit date:2023/05/30
Distribution dependent stochastic differential equations
Stochastic averaging principle
Wasserstein distance