Averaging principle for fractional heat equations driven by stochastic measures

Asymptotic Methods in the Theory of Non-Linear Oscillations

N. N. Bogoli︠u︡bov, Y. A. Mitropolski · 1961 · 873 citations

Natural Sciences, Mathematics, Physics +14

An averaging principle for stochastic dynamical systems with Lévy noise

Yong Xu, Jinqiao Duan, Wei Xu · Physica D Nonlinear Phenomena · 2011 · 198 citations

Engineering, Mathematics, Dynamical Systems +13

Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients

Wei Liu, Michael Röckner, Xiaobin Sun et al. · Journal of Differential Equations · 2019 · 106 citations

Engineering, Mathematics, Differential Equations +12

Averaging principle for one dimensional stochastic Burgers equation

Zhao Dong, Xiaobin Sun, Hui Xiao et al. · Journal of Differential Equations · 2018 · 104 citations

Engineering, Mathematics, Dynamical Systems +10

Stochastic averaging for stochastic differential equations driven by fractional Brownian motion and standard Brownian motion

Bin Pei, Yong Xu, Jiang-Lun Wu · Applied Mathematics Letters · 2019 · 98 citations

Engineering, Mathematics, Physics +14