Lie symmetry analysis of fractional ordinary differential equation with neutral delay

被引：23

作者：

Feng, Yuqiang ^{[1
,2
]}

Yu, Jicheng ^{[1
,3
]}

机构：

[1] Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Hubei, Peoples R China

[2] State Key Lab Environm Friendly Energy Mat, Mianyang 621010, Sichuan, Peoples R China

[3] Huangchuan 1 Senior High Sch, Huangchuan 465150, Henan, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 04期

基金：

中国国家自然科学基金;

关键词：

fractional ordinary differential equation; neutral delay; lie symmetry analysis method; invariant solutions;

D O I：

10.3934/math.2021214

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the fractional ordinary differential equation with neutral delay are obtained, and the group classification of the equation is established. The obtained Lie symmetries are used to construct the exact solutions of the fractional ordinary differential equation with neutral delay.

引用

页码：3592 / 3605

页数：14

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