most citedGlobal existence, uniqueness and -bound of weak solutions of fractional time-space Keller-Segel system

3 citations · 3 across the 7 of their papers we have counts for

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7 papers

math.AP2022

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…

math.PR2022

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…

math.AP2022

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^{…

math.AP2022★ 3 cited

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…

math.AP2022

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…

math.AP2022

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…

math.AP2021

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…