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20082023
most citedTwo-time-scale stochastic partial differential equations driven by -stable noises: Averaging principles

80 citations · 136 across the 69 of their papers we have counts for

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63 papers · 1 filter

math.PR2023

Large deviation for slow-fast McKean-Vlasov stochastic differential equations driven by fractional Brownian motions and Brownian motions

Hao Wu, Junhao Hu, Chenggui Yuan

In this article, we consider slow-fast McKean-Vlasov stochastic differential equations driven by Brownian motions and fractional Brownian motions. We give a definition of the large…

math.PR2022

Explicit Numerical Approximations for SDDEs in Finite and Infinite Horizons using the Adaptive EM Method: Strong Convergence and Almost Sure Exponential Stability

Ulises Botija-Munoz, Chenggui Yuan

In this paper we investigate explicit numerical approximations for stochastic differential delay equations (SDDEs) under a local Lipschitz condition by employing the adaptive Euler…

math.PR2022

McKean-Vlasov multivalued stochastic differential equations with oblique subgradients and related stochastic control problems

Hao Wu, Junhao Hu, Chenggui Yuan

In this article, we prove the existence of weak solutions as well as the existence and uniqueness of strong solutions for McKean-Vlasov multivalued stochastic differential equation…

math.PR2022

Asymptotic behaviors for distribution dependent SDEs driven by fractional Brownian motions

Xiliang Fan, Ting Yu, Chenggui Yuan

In this paper, we study small-time asymptotic behaviors for a class of distribution dependent stochastic differential equations driven by fractional Brownian motions with Hurst par…

math.PR2021

The Galerkin analysis for the random periodic solution of semilinear stochastic evolution equations

Yue Wu, Chenggui Yuan

In this paper we study the numerical method for approximating the random periodic solution of semiliear stochastic evolution equations. The main challenge lies in proving a converg…

math.PR2021

Stabilization of stochastic McKean-Vlasov equations with feedback control based on discrete-time state observation

Hao Wu, Junhao Hu, Shuaibin Gao +1

In this paper, we study the stability of solutions of stochastic McKean-Vlasov equations (SMVEs) via feedback control based on discrete-time state observation. By using a specific…