2 papers
math.NA2026
Fractional calculus via variable-transform-based spectral approximations
Xiaolin Liu, Kuan Xu
We present a novel and unifying framework for constructing spectral approximations to fractional integral operators. These spectral approximations are based on transplanted Chebysh…
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…