Explicit Solution for the Bagley-Torvik Equation With Variable Coefficients

被引：0
作者：
Wang, Huiwen [1 ]
Li, Fang [1 ]
机构：
[1] Yunnan Normal Univ, Sch Math, Kunming, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年
基金：
中国国家自然科学基金;
关键词：
Bagley-Torvik equation; Liouville-Caputo fractional derivative; variable coefficient; weighted space;
D O I：
10.1002/mma.10862
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Analytical solutions to the Bagley-Torvik equation with variable coefficients are difficult to be obtained, so most previous research focused on numerical solutions. In this paper, with the help of a fractional integral equation, we obtain an explicit representation of a unique exact solution of the initial value problem for the Bagley-Torvik equation with variable coefficients in a weighted space. We present three examples and give numerical simulations as an application.
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页数：8
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