苏州科技学院学报（自然科学版）2016，Vol.33Issue(3)：11-17,7.
基于联合Caputo导数的分数阶Lagrange系统的Noether对称性
Noether symmetries for fractional Lagrange systems in terms of combined Caputo derivatives
摘要
Abstract
This paper has proposed and studied the Noether symmetries and the conserved quantities for frac-tional Lagrange systems based on combined Caputo fractional derivatives. Firstly, the fractional Hamilton varia-tional principle for the Lagrange systems was established, and the fractional Lagrange equations were obtained. Secondly, based upon the invariance of the fractional Hamilton action under the infinitesimal transformation of groups, we provided the definition and criterion of the fractional Noether symmetry transformation and the frac-tional Noether quasi-symmetry transformation for the system. Finally, the relation between the fractional Noether symmetries and the conserved quantities was established. At the end of the paper, two examples were given to il-lustrate the application of the results.关键词
分数阶Lagrange系统/Caputo导数/Noether对称性/守恒量Key words
fractional Lagrange system/Caputo fractional derivative/Noether symmetry/conserved quantity分类
力学引用本文复制引用
何胜鑫,朱建青,张毅..基于联合Caputo导数的分数阶Lagrange系统的Noether对称性[J].苏州科技学院学报（自然科学版）,2016,33(3):11-17,7.基金项目
国家自然科学基金资助项目（11272227）；苏州科技学院研究生科研创新计划项目 （）
