An efficient numerical method for variable order fractional functional differential equation

Jiabao Yang; Huanmin Yao; Boying Wu

doi:10.1016/j.aml.2017.08.020

An efficient numerical method for variable order fractional functional differential equation

Jiabao Yang
, Huanmin Yao^*
, Boying Wu

^*Corresponding author for this work

School of Mathematics

Harbin Normal University

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

57 Scopus citations

Abstract

In this paper, we consider a new technique for variable order fractional functional differential equations (FDE for short). The proposed method relies on the reproducing kernel splines method (RKSM). The method can lessen computation cost and provide highly precise approximate solutions. Numerical results demonstrate that the algorithm is more effective and efficient.

Original language	English
Pages (from-to)	221-226
Number of pages	6
Journal	Applied Mathematics Letters
Volume	76
DOIs	https://doi.org/10.1016/j.aml.2017.08.020
State	Published - Feb 2018

Keywords

Functional differential equations
Reproducing kernel splines method
Variable fractional order

Access to Document

10.1016/j.aml.2017.08.020

Cite this

@article{a4140fd00b684e0c98f835f81f29952b,

title = "An efficient numerical method for variable order fractional functional differential equation",

abstract = "In this paper, we consider a new technique for variable order fractional functional differential equations (FDE for short). The proposed method relies on the reproducing kernel splines method (RKSM). The method can lessen computation cost and provide highly precise approximate solutions. Numerical results demonstrate that the algorithm is more effective and efficient.",

keywords = "Functional differential equations, Reproducing kernel splines method, Variable fractional order",

author = "Jiabao Yang and Huanmin Yao and Boying Wu",

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

year = "2018",

month = feb,

doi = "10.1016/j.aml.2017.08.020",

language = "英语",

volume = "76",

pages = "221--226",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - An efficient numerical method for variable order fractional functional differential equation

AU - Yang, Jiabao

AU - Yao, Huanmin

AU - Wu, Boying

PY - 2018/2

Y1 - 2018/2

N2 - In this paper, we consider a new technique for variable order fractional functional differential equations (FDE for short). The proposed method relies on the reproducing kernel splines method (RKSM). The method can lessen computation cost and provide highly precise approximate solutions. Numerical results demonstrate that the algorithm is more effective and efficient.

AB - In this paper, we consider a new technique for variable order fractional functional differential equations (FDE for short). The proposed method relies on the reproducing kernel splines method (RKSM). The method can lessen computation cost and provide highly precise approximate solutions. Numerical results demonstrate that the algorithm is more effective and efficient.

KW - Functional differential equations

KW - Reproducing kernel splines method

KW - Variable fractional order

UR - https://www.scopus.com/pages/publications/85031797162

U2 - 10.1016/j.aml.2017.08.020

DO - 10.1016/j.aml.2017.08.020

M3 - 文章

AN - SCOPUS:85031797162

SN - 0893-9659

VL - 76

SP - 221

EP - 226

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

An efficient numerical method for variable order fractional functional differential equation

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this