Yu-Ying Duan

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math.AP2026

Stability of strong global and exponential attractors for semilinear beam equations with fractional damping and memory

Yu-Ying Duan, Ti-Jun Xiao

This paper investigates the stability of strong global and exponential attractors for a semilinear beam equation with memory and fractional damping, where $α \in [0, 2]$ denotes the f…

math.AP2026

Regularity of global attractors for beam equations with fractional damping and memory

Yu-Ying Duan, Ti-Jun Xiao

This paper investigates the long-time behavior of a semilinear beam equation in a domain $Ω \subset R^{n}$ , with memory and fractional damping of the form $(- Δ)^{α} u_{t}$ ($α\in [0,2]…