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

doi:10.1088/1674-1056/21/10/100202

Abstract 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.

Keywords: fractional derivative mechanico-electrical system Noether symmetry Hamiltonian formulation

Received: 04 March 2012
Revised: 23 April 2012
Accepted manuscript online:

PACS:	02.20.-a	(Group theory)
	11.10.Ef	(Lagrangian and Hamiltonian approach)
	03.20.+I
	11.30.-j	(Symmetry and conservation laws)

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

Corresponding Authors: Fu Jing-Li
E-mail: sqfujngli@163.com

Cite this article:

Zhang Shi-Hua (张世华), Chen Ben-Yong (陈本永), Fu Jing-Li (傅景礼) Hamilton formalism and Noether symmetry for mechanico–electrical systems with fractional derivatives 2012 Chin. Phys. B 21 100202

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

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