5 papers
Local/global well-posedness analysis of time-space fractional Schrödinger equation on
Yong Zhen Yang, Yong Zhou
We investigate a class of nonlinear time-space fractional Schrödinger equations with nonlocal effects in both time and space. The time derivative is of Achar type, and the space o…
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--…
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) = Ï(Î) w(t,x) + h(t,x), \quad w(0,\cdot)…
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 solu…