Taylor wavelet method for fractional delay differential equations

被引：60

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

页码：231 / 240

页数：10

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