38 citations · 46 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Long-time asymptotic estimate and a related inverse source problem for time-fractional wave equations
Xinchi Huang, Yikan Liu
Lying between traditional parabolic and hyperbolic equations, time-fractional wave equations of order in time inherit both decaying and oscillating properties. In this…
Reconstruction of the Temporal Component in the Source Term of a (Time-Fractional) Diffusion Equation
Yikan Liu, Zhidong Zhang
In this article, we consider the reconstruction of in the (time-fractional) diffusion equation () by the observation at a…