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.

引用

页数：8

共 22 条

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