Taylor wavelet method for fractional delay differential equations

被引：52
|
作者：
Toan, Phan Thanh [1 ]
Vo, Thieu N. [1 ]
Razzaghi, Mohsen [2 ]
机构：
[1] Ton Duc Thang Univ, Fac Math & Stat, Fract Calculus Optimizat & Algebra Res Grp, Ho Chi Minh City, Vietnam
[2] Mississippi State Univ, Dept Math & Stat, Starkville, MS 39762 USA
来源：
ENGINEERING WITH COMPUTERS | 2021年 / 37卷 / 01期
关键词：
Taylor wavelet; Delay differential equation; Numerical solution; Fractional integral; Collocation method;
D O I：
10.1007/s00366-019-00818-w
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We present a new numerical method for solving fractional delay differential equations. The method is based on Taylor wavelets. We establish an exact formula to determine the Riemann-Liouville fractional integral of the Taylor wavelets. The exact formula is then applied to reduce the problem of solving a fractional delay differential equation to the problem of solving a system of algebraic equations. Several numerical examples are presented to show the applicability and the effectiveness of this method.
引用
收藏
页码：231 / 240
页数：10
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