3 papers
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.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…