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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
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…