MODIFIED LAGUERRE WAVELET BASED GALERKIN METHOD FOR FRACTIONAL AND FRACTIONAL-ORDER DELAY DIFFERENTIAL EQUATIONS

被引：4
|
作者：
Secer, Aydin [1 ]
Ozdemir, Neslihan [1 ]
机构：
[1] Yildiz Tech Univ, Dept Math Engn, Istanbul, Turkey
来源：
THERMAL SCIENCE | 2019年 / 23卷
关键词：
Galerkin method; Laguerre wavelet; method of steps; fractional differential equations; fractional-order delay differential equations; APPROXIMATION;
D O I：
10.2298/TSCI180912326S
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The application of modified Laguerre wavelet with respect to the given conditions by Galerkin method to an approximate solution of fractional and fractional-order delay differential equations is studied in this paper. For the concept of fractional derivative is used Caputo sense by using Riemann-Liouville fractional integral operator. The presented method here is tested on several problems. The approximate solutions obtained by presented method are compared with the exact solutions and is shown to be a very efficient and powerful tool for obtaining approximate solutions of fractional and fractional-order delay differential equations. Some tables and figures are presented to reveal the performance of the presented method.
引用
收藏
页码：S13 / S21
页数：9
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