Lie symmetry analysis of fractional ordinary differential equation with neutral delay

Yuqiang Feng; Jicheng Yu; Yuqiang Feng; Jicheng Yu

doi:10.3934/math.2021214

AIMS Mathematics

2021, Volume 6, Issue 4: 3592-3605. doi: 10.3934/math.2021214

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Research article

Lie symmetry analysis of fractional ordinary differential equation with neutral delay

Yuqiang Feng ^{1,2
,
,},
Jicheng Yu ^1,3

1.
School of Science, Wuhan University of Science and Technology, Wuhan 430065, Hubei, P. R. China
2.
State Key Laboratory of Environment-Friendly Energy Materials, Mianyang 621010, Sichuan, P. R. China
3.
Huangchuan No.1 Senior High School, Huangchuan 465150, Henan, P. R. China

Received: 03 December 2020 Accepted: 13 January 2021 Published: 21 January 2021
MSC : 34A08, 35B06, 47E99

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.
- fractional ordinary differential equation,
- neutral delay,
- lie symmetry analysis method,
- invariant solutions
Citation: Yuqiang Feng, Jicheng Yu. Lie symmetry analysis of fractional ordinary differential equation with neutral delay[J]. AIMS Mathematics, 2021, 6(4): 3592-3605. doi: 10.3934/math.2021214

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Abstract

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.

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