78 citations · 244 across the 16 of their papers we have counts for
23 papers
Simultaneous uniqueness for a coefficient inverse problem in one-dimensional fractional diffusion equation from an interior point measurement
Xiaohua Jing, Zhiyuan Li, Masahiro Yamamoto
This article is concerned with an inverse problem of simultaneously determining a spatially varying coefficient and a Robin coefficient for a one-dimensional fractional diffusion e…
Well-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problems
Matti Lassas, Zhiyuan Li, Zhidong Zhang
In this paper, we are concerned with the stochastic time-fractional diffusion-wave equations in a Hilbert space. The main objective of this paper is to establish properties of the…
Initial-boundary value problems for coupled systems of time-fractional diffusion equations
Zhiyuan Li, Xinchi Huang, Yikan Liu
This article deals with the initial-boundary value problem for a moderately coupled system of time-fractional diffusion equations. Defining the mild solution, we establish fundamen…
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…
An inverse problem of determining fractional orders in a fractal solute transport model
Gongsheng Li, Xianzheng Jia, Wenyi Liu +1
A fractal mobile-immobile (MIM in short) solute transport model in porous media is set forth, and an inverse problem of determining the fractional orders by the additional measurem…