Hamilton formalism and Noether symmetry for mechanico electrical systems with fractional derivatives  

作　　者：张世华 陈本永 傅景礼 

机构地区：[1]Faculty of Mechanical-Engineering&Automation,Zhejiang Sci-Tech University [2]Institute of Mathematical Physics,Zhejiang Sci-Tech University

出　　处：《Chinese Physics B》2012年第10期9-16,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11072218 and 60575055)

摘　　要：This paper presents extensions to the traditional calculus of variations for mechanico-electrical systems containing fractional derivatives. The Euler Lagrange equations and the Hamilton formalism of the mechanico-electrical systems with fractional derivatives are established. The definition and the criteria for the fractional generalized Noether quasi- symmetry are presented. Furthermore, the fractional Noether theorem and conseved quantities of the systems are obtained by virtue of the invariance of the Hamiltonian action under the infinitesimal transformations. An example is presented to illustrate the application of the results.This paper presents extensions to the traditional calculus of variations for mechanico-electrical systems containing fractional derivatives. The Euler Lagrange equations and the Hamilton formalism of the mechanico-electrical systems with fractional derivatives are established. The definition and the criteria for the fractional generalized Noether quasi- symmetry are presented. Furthermore, the fractional Noether theorem and conseved quantities of the systems are obtained by virtue of the invariance of the Hamiltonian action under the infinitesimal transformations. An example is presented to illustrate the application of the results.

关 键 词：fractional derivative mechanico-electrical system Noether symmetry Hamiltonian formulation 

分 类 号：O172[理学—数学]