A new numerical method for variable order fractional functional differential equations

被引：32
|
作者：
Li, Xiuying [1 ]
Li, Haixia [2 ]
Wu, Boying [3 ]
机构：
[1] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China
[2] Shandong Water Polytech, Dept Math, Shandong 276826, Peoples R China
[3] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 68卷
基金：
中国国家自然科学基金;
关键词：
Reproducing kernel method; Fractional order; Variable order; Initial value problem; REPRODUCING KERNEL-METHOD; BOUNDARY-VALUE-PROBLEMS; APPROXIMATION;
D O I：
10.1016/j.aml.2017.01.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this letter, a high order numerical scheme is proposed for solving variable order fractional functional differential equations. Firstly, the problem is approximated by an integer order functional differential equation. The integer order differential equation is then solved by the reproducing kernel method. Numerical examples are given to demonstrate the theoretical analysis and verify the efficiency of the proposed method. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：80 / 86
页数：7
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