The Numerical Solution of the Bagley-Torvik Equation With Fractional Taylor Method

被引：33

作者：

Krishnasamy, V. S. ^{[1
]}

Razzaghi, M. ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39759 USA

来源：

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2016年 / 11卷 / 05期

关键词：

Bagley-Torvik equations; Caputo derivative; Riemann-Liouville fractional integral; fractional integral operator; operational matrix; fractional Taylor; DIFFERENTIAL-EQUATIONS; COLLOCATION METHOD; INTEGRODIFFERENTIAL EQUATIONS;

D O I：

10.1115/1.4032390

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a numerical method for solving the fractional Bagley-Torvik equation is given. This method is based on using fractional Taylor vector approximation. The operational matrix of the fractional integration for fractional Taylor vector is given and is utilized to reduce the solution of the Bagley-Torvik equation to a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of this technique.

引用

页数：6

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