Noether's theorem of Hamiltonian systems with generalized fractional derivative operators

被引:7
作者
Zhang, Hong-Bin [1 ]
Chen, Hai-Bo [1 ]
机构
[1] Chaohu Univ, Coll Mech & Elect Engn, Hefei 238000, Anhui, Peoples R China
基金
中国国家自然科学基金;
关键词
Calculus of variations; Generalized fractional derivatives operator; Noether's theorem; Hamiltonian systems; LINEAR VELOCITIES; CALCULUS; FORMULATION;
D O I
10.1016/j.ijnonlinmec.2018.10.013
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, we present two "transfer formulas" for generalized fractional derivative operators, and derive a Noether type symmetry theorem of fractional Hamiltonian systems with generalized fractional derivative operators. As a result, we obtain constants of motion that are valid along Hamiltonian extremals for fractional derivatives. This theorem provides an explicit algorithmic way to compute a constants of motion for Hamiltonian systems with generalized fractional derivatives operator admitting a symmetry.
引用
收藏
页码:34 / 41
页数:8
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