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
相关论文
共 50 条
  • [1] An efficient numerical method for variable order fractional functional differential equation
    Yang, Jiabao
    Yao, Huanmin
    Wu, Boying
    APPLIED MATHEMATICS LETTERS, 2018, 76 : 221 - 226
  • [2] A New Numerical Approach for the Analysis of Variable Fractal and Fractional Order Differential Equations
    Jena P.
    Mohapatra S.N.
    Mishra S.R.
    International Journal of Applied and Computational Mathematics, 2022, 8 (4)
  • [3] Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order
    Abdelkawy, M. A.
    Lopes, Antonio M.
    Babatin, Mohammed M.
    CHAOS SOLITONS & FRACTALS, 2020, 134
  • [4] A new reproducing kernel method for variable order fractional boundary value problems for functional differential equations
    Li, Xiuying
    Wu, Boying
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 311 : 387 - 393
  • [5] A numerical method for fractional variable order pantograph differential equations based on Haar wavelet
    Alrabaiah, Hussam
    Ahmad, Israr
    Amin, Rohul
    Shah, Kamal
    ENGINEERING WITH COMPUTERS, 2022, 38 (03) : 2655 - 2668
  • [6] A numerical method for fractional variable order pantograph differential equations based on Haar wavelet
    Hussam Alrabaiah
    Israr Ahmad
    Rohul Amin
    Kamal Shah
    Engineering with Computers, 2022, 38 : 2655 - 2668
  • [7] Functional Variable Method for the Nonlinear Fractional Differential Equations
    Bekir, Ahmet
    Guner, Ozkan
    Aksoy, Esin
    Pandir, Yusuf
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
  • [8] A numerical solution for variable order fractional functional differential equation
    Jia, Yun-Tao
    Xu, Min-Qiang
    Lin, Ying-Zhen
    APPLIED MATHEMATICS LETTERS, 2017, 64 : 125 - 130
  • [9] A new numerical method for fractional order Volterra integro-differential equations
    Rajagopal, N.
    Balaji, S.
    Seethalakshmi, R.
    Balaji, V. S.
    AIN SHAMS ENGINEERING JOURNAL, 2020, 11 (01) : 171 - 177
  • [10] A review of numerical solutions of variable-order fractional differential equations
    Sun B.
    Zhang W.-C.
    Li Z.-L.
    Fan K.
    Kongzhi yu Juece/Control and Decision, 2022, 37 (10): : 2433 - 2442
12345