中山大学学报（自然科学版）2018，Vol.57Issue(3)：149-154,6.DOI:10.13471/j.cnki.acta.snus.2018.03.020
Caputo导数下分数阶Lagrange系统的Noether准对称性与守恒量
Noether quasi-symmetry and conserved quantity for fractional Lagrange system in terms of Caputo derivatives
摘要
Abstract
The Noether quasi-symmetry and the conserved quantity for a fractional Lagrange system are studied by using the time-reparameterization method.Firstly,the fractional Lagrange equations in terms of Caputo derivatives are derived;Secondly,the definition of fractional conserved quantity for the frac-tional Lagrange system is given,and based on the special infinitesimal transformations of group without transforming time,the definition and the criterion of the Noether quasi-symmetry for the fractional La-grange system are given,and Noether's quasi-symmetry theorem is established;Finally,the definition and the criterion of Noether quasi-symmetry for the fractional Lagrange system under the general infinitesi-mal transformations of group with transforming time are given,Noether's quasi-symmetry theorem is de-rived by using the time-reparameterization method.An example is given to illustrate the application of the results.关键词
时间重新参数化/Caputo导数/Lagrange系统/Noether准对称性/守恒量Key words
time-reparameterization/Caputo derivative/Lagrange system/Noether quasi-symmetry/conserved quantity分类
数理科学引用本文复制引用
刘艳东,张毅..Caputo导数下分数阶Lagrange系统的Noether准对称性与守恒量[J].中山大学学报（自然科学版）,2018,57(3):149-154,6.基金项目
国家自然科学基金(11572212,11272227) （11572212,11272227）
苏州科技大学研究生科研创新计划(SKYCX16_004) （SKYCX16_004）
