A new numerical method for variable order fractional functional differential equations

Xiuying Li; Haixia Li; Boying Wu

doi:10.1016/j.aml.2017.01.001

A new numerical method for variable order fractional functional differential equations

Xiuying Li
, Haixia Li
, Boying Wu^*

^*Corresponding author for this work

School of Mathematics

Changshu Institute of Technology
Shandong Water Polytechnic

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	80-86
Number of pages	7
Journal	Applied Mathematics Letters
Volume	68
DOIs	https://doi.org/10.1016/j.aml.2017.01.001
State	Published - 1 Jun 2017

Keywords

Fractional order
Initial value problem
Reproducing kernel method
Variable order

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10.1016/j.aml.2017.01.001

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title = "A new numerical method for variable order fractional functional differential equations",

abstract = "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.",

keywords = "Fractional order, Initial value problem, Reproducing kernel method, Variable order",

author = "Xiuying Li and Haixia Li and Boying Wu",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Ltd",

year = "2017",

month = jun,

day = "1",

doi = "10.1016/j.aml.2017.01.001",

language = "英语",

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T1 - A new numerical method for variable order fractional functional differential equations

AU - Li, Xiuying

AU - Li, Haixia

AU - Wu, Boying

PY - 2017/6/1

Y1 - 2017/6/1

N2 - 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.

AB - 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.

KW - Fractional order

KW - Initial value problem

KW - Reproducing kernel method

KW - Variable order

UR - https://www.scopus.com/pages/publications/85009458320

U2 - 10.1016/j.aml.2017.01.001

DO - 10.1016/j.aml.2017.01.001

M3 - 文章

AN - SCOPUS:85009458320

SN - 0893-9659

VL - 68

SP - 80

EP - 86

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

A new numerical method for variable order fractional functional differential equations

Abstract

Keywords

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