2 papers
math.AP2025
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…
math.AP2025
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…