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20132026
most citedThe Galerkin Finite Element Method for A Multi-term Time-Fractional Diffusion equation

293 citations · 1.1k across the 28 of their papers we have counts for

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Showing 2025Show all

5 papers · 1 filter

math.OC2025

Threshold dynamics in time-delay systems: polynomial -control in a pressing process and connections to blow-up

Masato Kimura, Hirotaka Kuma, Yikan Liu +3

This paper addresses a press control problem in straightening machines with small time delays due to system communication. To handle this, we propose a generalized -control meth…

math.NA2025★ 2 cited

Inverse source problem with a posteriori interior measurements for space-time fractional diffusion equations

Kai Yu, Zhiyuan Li, Yikan Liu

This paper investigates an inverse source problem for space-time fractional diffusion equations from a posteriori interior measurements. The uniqueness result is established by the…

math.AP2025★ 1 cited

Sharp decay estimates and numerical analysis for weakly coupled systems of two subdiffusion equations

Zhiyuan Li, Yikan Liu, Kazuma Wada

This paper investigates the initial-boundary value problem for weakly coupled systems of time-fractional subdiffusion equations with spatially and temporally varying coupling coeff…

math.AP2025★ 3 cited

Energy decay of nonlocal viscoelastic equations with nonlinear damping and polynomial nonlinearity

Qingqing Peng, Yikan Liu

This paper is concerned with the energy decay of a viscoelastic variable coefficient wave equation with nonlocality in time as well as nonlinear damping and polynomial nonlinear te…

math.AP2025

Exponential stability for an infinite memory wave equation with frictional damping and logarithmic nonlinear terms

Qingqing Peng, Yikan Liu

This article is concerned with the energy decay of an infinite memory wave equation with a logarithmic nonlinear term and a frictional damping term. The problem is formulated in a…