5 papers
The time fractional stochastic partial differential equations with non-local operator on
Yong Zhen Yang, Yong Zhou
This paper establishes a comprehensive well-posedness and regularity theory for time-fractional stochastic partial differential equations on driven by mixed Wiener--…
Random data Cauchy theory for fully nonlocal telegraph equations
Xi Huang, Li Peng, Juan Carlos Pozo +1
We consider the random Cauchy problem for the fully nonlocal telegraph equation of power type with the general type kernel . This equation can effect…
Cauchy problems for time-space fractional coupled chemotaxis-fluid equations in Besov-Morrey spaces
Yong Zhen Yang, Yong Zhou, Xiao Lin Liu
In this paper, we consider the Cauchy problems for the time-space fractional coupled chemotaxis-fluid equations, which is a generalized form of the coupled chemotaxis-fluid equatio…
On the well-posedness of time-space fractional Schrödinger equation on
Yong Zhen Yang, Yong Zhou
This paper considers the well-posedness of a class of time-space fractional Schrödinger equations introduced by Naber. In contrast to the classical Schrödinger equation, the soluti…
Muckenhoupt-weighted boundedness for time-space fractional nonlocal operators
Yong Zhen Yang, Yong Zhou
We develop a weighted mixed-norm -estimates for solutions to fractional evolution equations of the form \[ \partial_t^αw(t,x) = ϕ(Δ) w(t,x) + h(t,x), \quad w(0,\cdot) = w…