220 citations · 812 across the 28 of their papers we have counts for
5 papers · 2 filters
Uniqueness and stability for inverse source problem for fractional diffusion-wave equations
Xing Cheng, Zhiyuan Li
This paper is devoted to the inverse problem of determining the spatially dependent source in a time fractional diffusion-wave equation, with the aid of extra measurement data at s…
Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions
Zhiyuan Li, Yikan Liu, Masahiro Yamamoto
In this paper, we obtain the sharp uniqueness for an inverse -source problem for a one-dimensional time-fractional diffusion equation with a zeroth-order term by the minimum pos…
Well-posedness and asymptotic estimate for a diffusion equation with time-fractional derivative
Zhiyuan Li, Xinchi Huang, Masahiro Yamamoto
In this paper, we study the asymptotic estimate of solution for a mixed-order time-fractional diffusion equation in a bounded domain subject to the homogeneous Dirichlet boundary c…
Strong positivity property and a related inverse source problem for multi-term time-fractional diffusion equations
Xiaona Yang, Zhiyuan Li
In this article, we consider the diffusion equation with multi-term time-fractional derivatives. We first derive that the solution is positive when the source term is nonpositive b…
Uniqueness for fractional nonsymmetric diffusion equations and an application to an inverse source problem
Daijun Jiang, Zhiyuan Li, Matthieu Pauron +1
In this paper, we discuss the uniqueness for solution to time-fractional diffusion equation with the homogeneous Dirichlet boundary condition, where an…