Taylor wavelet method for fractional delay differential equations

被引：0
作者：
Phan Thanh Toan
Thieu N. Vo
Mohsen Razzaghi
机构：
[1] Ton Duc Thang University,Fractional Calculus, Optimization and Algebra Research Group, Faculty of Mathematics and Statistics
[2] Mississippi State University,Department of Mathematics and Statistics
来源：
Engineering with Computers | 2021年 / 37卷
关键词：
Taylor wavelet; Delay differential equation; Numerical solution; Fractional integral; Collocation method;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：231 / 240
页数：9
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