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20192022
most citedGlobal existence, uniqueness and -bound of weak solutions of fractional time-space Keller-Segel system

3 citations · 3 across the 9 of their papers we have counts for

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Showing 2022 · math.APShow all

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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.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…