65 citations · 95 across the 5 of their papers we have counts for
5 papers
Mean-square invariant manifolds for ill-posed stochastic evolution equations driven by nonlinear noise
Zonghao Li, Caibin Zeng, Jianhua Huang
This paper discerns the invariant manifold of a class of ill-posed stochastic evolution equations driven by a nonlinear multiplicative noise. To be more precise, we establish the e…
Stochastic differential equations with noise perturbations and Wong-Zakai approximation of fractional Brownian motion
Lauri Viitasaari, Caibin Zeng
In this article we study effects that small perturbations in the noise have to the solution of differential equations driven by Hölder continuous functions of order . As…
Optimal random search, fractional dynamics and fractional calculus
Caibin Zeng, YangQuan Chen
What is the most efficient search strategy for the random located target sites subject to the physical and biological constraints? Previous results suggested the Lévy flight is the…
Global Padé approximations of the generalized Mittag-Leffler function and its inverse
Caibin Zeng, YangQuan Chen
This paper proposes a global Padé approximation of the generalized Mittag-Leffler function with . This uniform approximation can account for both the…
Homotopy perturbation method for fractional-order Burgers-Poisson equation
Caibin Zeng, Qigui Yang, Bengong Zhang
In this paper, the fractional-order Burgers-Poisson equation is introduced by replacing the first-order time derivative by fractional derivative of order . Both exact and approx…