9 citations · 18 across the 6 of their papers we have counts for
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Hölder regularity of the nonlinear stochastic time-fractional slow and fast diffusion equations on
Le Chen, Guannan Hu
In this paper, we use local fraction derivative to show the Hölder continuity of the solution to the following nonlinear time-fractional slow and fast diffusion equation: $$\left(\…
Some stochastic time-fractional diffusion equations with variable coefficients and time dependent noise
Guannan Hu
We prove the existence and uniqueness of mild solution for the stochastic partial differential equation …
Space-time fractional diffusions in Gaussian noisy environment
Le Chen, Guannan Hu, Yaozhong Hu +1
This paper studies the linear stochastic partial differential equation of fractional orders both in time and space variables $\left(\partial^β+ \fracν{2} (-Δ)^{α/2} \right) u(t,x)=…
Fractional diffusion in Gaussian noisy environment
Guannan Hu, Yaozhong Hu
We study the fractional diffusion in a Gaussian noisy environment as described by the fractional order stochastic partial equations of the following form: $D_t^αu(t, x)=\textit{B}u…