Local modification and analysis of a variable-order fractional wave equation

被引：0
|
作者：
Li, Shuyu [1 ]
Wang, Hong [2 ]
Jia, Jinhong [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250358, Shandong, Peoples R China
[2] Univ South Carolina, Dept Math, Columbia, SC 29208 USA
来源：
APPLIED MATHEMATICS LETTERS | 2025年 / 163卷
基金：
美国国家科学基金会;
关键词：
Variable-order; Fractional wave equation; Well-posedness;
D O I：
10.1016/j.aml.2024.109425
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a local modification of a variable-order time-fractional wave equation, which models the vibrations of a viscoelastic bar along its longitudinal axis. Under suitable assumptions regarding the variable order at t = 0 , we prove that the original model is equivalent to a multiscale wave equation. Furthermore, we analyze the well-posedness of its weak solution. Numerical experiments are implemented to clarify the theoretical analysis.
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页数：5
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