3 citations · 3 across the 9 of their papers we have counts for
9 papers
Boundedness and exponential stabilization for time-space fractional parabolic-elliptic Keller-Segel model in higher dimensions
Fei Gao, Hui Zhan
For the time-space fractional degenerate Keller-Segel equation \begin{equation*} \begin{cases} \partial _{t}^{β}u=-(-Δ)^{\fracα{2}}(ρ(v)u),& t>0\\ (-Δ)^{\fracα{2}} v+v=u,& t>0 \end…
Positive effects of multiplicative noise on the explosion of nonlinear fractional stochastic differential equations
Fei Gao, Xinyi Xie, Hui Zhan
For the nonlinear stochastic partial differential equation which is driven by multiplicative noise of the form \[D_t^βu = \left[ { - {{\left( { - Δ} \right)}^s}u + ζ\left( u \right…
The Cauchy problem of non-local space-time reaction-diffusion equation involving fractional -Laplacian
Fei Gao, Hui Zhan
For the non-local space-time reaction-diffusion equation involving fractional -Laplacian \begin{equation*} \begin{cases} \frac{\partial^{α}u}{\partial t^{α}}+(-Δ)_{p}^{s} u=μu^{…
Global existence, uniqueness and -bound of weak solutions of fractional time-space Keller-Segel system
Liujie Guo, Fei Gao, Hui Zhan
This paper studies the properties of weak solutions to a class of space-time fractional parabolic-elliptic Keller-Segel equations with logistic source terms in , $n…
Global boundedness and asymptotic behavior of time-space fractional nonlocal reaction-diffusion equation
Hui Zhan, Fei Gao, Liujie Guo
The global boundedness and asymptotic behavior are investigate for the solution of time-space fractional non-local reaction-diffusion equation (TSFNRDE) $$ \frac{\partial^{α}u}{\pa…
Solution of integrals with fractional Brownian motion for different Hurst indices
Fei Gao, Shuaiqiang Liu, Cornelis W. Oosterlee +1
In this paper, we will evaluate integrals that define the conditional expectation, variance and characteristic function of stochastic processes with respect to fractional Brownian…
Global boundedness and Allee effect for a nonlocal time fractional p-Laplacian reaction-diffusion equation
Hui Zhan, Fei Gao, Liujie Guo
The global boundedness and asymptotic behavior are investigated for the solutions of a nonlocal time fractional p-Laplacian reaction-diffusion equation (NTFPLRDE) $$ \frac{\partial…
Global boundedness and Allee effect for a nonlocal time fractional reaction-diffusion equation
Hui Zhan, Fei Gao, Liujie Guo
The global boundedness and asymptotic behavior are investigated for the solutions of a nonlocal time fractional reaction-diffusion equation (NTFRDE) $$ \frac{\partial^{α}u}{\partia…
Dynamics analysis of a novel fractional HBV system with immune delay
Xiaohe Yu, Fei Gao, Xingluan Wang +1
In the theoretical research of Hepatitis B virus, mathematical models of its transmission mechanism have been thoroughly investigated, while the dynamics of the immune process in v…