中山大学学报（自然科学版）2016，Vol.55Issue(3)：97-101,105,6.DOI:10.13471/j.cnki.acta.snus.2016.03.016
基于 El-Nabulsi 模型的分数阶Lagrange 系统的 Lie 对称性与守恒量
Lie symmetry and conserved quantity of fractional Lagrange system based on El-Nabulsi models
摘要
Abstract
The Lie symmetry and the conserved quantity of fractional Lagrange system based on El-Nabulsi models are studied.Firstly,the D’Alembert-Lagrange principle of the El-Nabulsi models is de-duced based on the fractional action-like variational problem which is expanded by the Riemann-Liouville integral,and the differential equations of motion of the system are obtained.Secondly,the definition and the criterion of the Lie symmetry are given,the determination equations of the Lie symmetry of the system are established,and the generalized Hojman theorem is put forward.At the same time,the existence condition and the form of the generalized Hojman conserved quantity are obtained.Then,the generalized Noether theorem is established,the existence condition and the form of the Noether conserved quantity led by the Lie symmetry are given.Finally,two examples are given to illustrate the application of the re-sults.关键词
分数阶 Lagrange 系统/El-Nabulsi 模型/Lie 对称性/守恒量Key words
fractional Lagrange system/El-Nabulsi model/Lie symmetry/conserved quantity分类
数理科学引用本文复制引用
张孝彩,张毅..基于 El-Nabulsi 模型的分数阶Lagrange 系统的 Lie 对称性与守恒量[J].中山大学学报（自然科学版）,2016,55(3):97-101,105,6.基金项目
国家自然科学基金资助项目（11272227，11572212）；江苏省普通高校研究生科研创新计划资助项目（KYZZ＿0350）；苏州科技大学研究生科研创新计划资助项目 （）
