Author:
SONG Chuanjing,ZHAI Xianghua
Abstract
Noether theorems for two fractional singular systems are discussed. One system involves mixed integer and Caputo fractional derivatives, and the other involves only Caputo fractional derivatives. Firstly, the fractional primary constraints and the fractional constrained Hamilton equations are given. Then, the fractional Noether theorems of the two fractional singular systems are established, including the fractional Noether identities, the fractional Noether quasi-identities and the fractional conserved quantities. Finally, the results obtained are illustrated by two examples.
Reference31 articles.
1. Deriglazov A. Classical Mechanics Hamiltonian and Lagrangian Formalism [M]. Berlin: Springer-Verlag, 2010.
2. Determination of the Hamiltonian in the Presence of Constraints
3. Mittelstaedt P. Klassische Mechanik [M]. Germany: Hochschultaschenbücher Verlag, 1970.
4. Li Z. Symmetries in Constrained Canonical Systems [M]. Beijing: Science Press, 2002(Ch).