3 papers
math.AP2024
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.AP2024
Global and local existence of solutions for nonlinear systems of time-fractional diffusion equations
Dian Feng, Masahiro Yamamoto
In this paper, we consider initial-boundary value problems for two-component nonlinear systems of time-fractional diffusion equations with the homogeneous Neumann boundary conditio…
math.NA2023
Fractional weak adversarial networks for the stationary fractional advection dispersion equations
Dian Feng, Zhiwei Yang, Sen Zou
In this article, we propose the fractional weak adversarial networks (f-WANs) for the stationary fractional advection dispersion equations (FADE) based on their weak formulas. This…