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.

引用

页数：5

共 9 条

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