3 papers
math.AP2026
Strict positivity property of inhomogeneous subdiffusion equations and its application to coupled subdiffusion systems
Yimeng Tian, Yikan Liu
The positivity of solutions to subdiffusion equations has been widely studied, mainly in the context of homogeneous problems for single equations. In this article, we fill the miss…
math.AP2025
Forward and backward problems for coupled subdiffusion systems
Dian Feng, Yikan Liu, Shuai Lu
In this article, we investigate both forward and backward problems for coupled systems of time-fractional diffusion equations, encompassing scenarios of strong coupling. For the fo…
math.NA2025
Numerical reconstruction of orders in coupled systems of subdiffusion equations
Yikan Liu
In this paper, we develop a numerical algorithm for an inverse problem on determining fractional orders of time derivatives simultaneously in a coupled subdiffusion system. Followi…