293 citations · 1.1k across the 28 of their papers we have counts for
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math.AP2022★ 3 cited
Uniqueness of inverse source problems for time-fractional diffusion equations with singular functions in time
Yikan Liu, Masahiro Yamamoto
We consider a fractional diffusion equations of order whose source term is singular in time: , , where belong…
math.AP2022★ 19 cited
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…
math.AP2022★ 23 cited
Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior
Yikan Liu, Masahiro Yamamoto
As the most significant difference from parabolic equations, long-time or short-time behavior of solutions to time-fractional evolution equations is dominated by the fractional ord…