220 citations · 812 across the 28 of their papers we have counts for
3 papers · 1 filter
Initial-boundary value problem for distributed order time-fractional diffusion equations
Zhiyuan Li, Yavar Kian, Eric Soccorsi
We examine initial-boundary value problems for diffusion equations with distributed order time-fractional derivatives. We prove existence and uniqueness results for the weak soluti…
An inverse problem for distributed order time-fractional diffusion equations
Zhiyuan Li, Kenichi Fujishiro, Gongsheng Li
This paper deals with the distributed order time-fractional diffusion equations with non-homogeneous Dirichlet (Nuemann) boundary condition. We first prove the wellposedness of the…
Carleman estimates for the time-fractional advection-diffusion equations and applications
Zhiyuan Li, Xinchi Huang, Masahiro Yamamoto
In this article, we prove Carleman estimates for the generalized time-fractional advection-diffusion equations by considering the fractional derivative as perturbation for the firs…