- Issue:
- 2018年03期

- Page:
- 374-

- Research Field:

- Publishing date:

- Title:
- Noether quasi-symmetry theorems for fractional Hamilton system in terms of Caputo derivatives

- Author(s):
- Liu Yandong
^{1}; Zhang Yi^{2} - 1.School of Mathematics and Physics,Suzhou University of Science and Technology,Suzhou 215009,China; 2.School of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,China

- Keywords:
- Caputo derivatives; fractional Hamilton system; Noether quasi-symmetry; non-conservative dynamical systems; fractional conserved quantities

- PACS:
- O316

- DOI:
- 10.14177/j.cnki.32-1397n.2018.42.03.018

- Abstract:
- The fractional conserved quantities and the Noether quasi-symmetry for a fractional Hamilton system in terms of Caputo derivatives are proposed and studied to explore the internal relation between symmetry and conserved quantities for non-conservative dynamical systems under fractional models. The definition and the criterion of Noether quasi-symmetry for the fractional Hamilton system in terms of Caputo derivatives are established. The Noether quasi-symmetry theorem is deduced by using the time-reparameterization method based on the concept of Frederico-Torres fractional conserved quantity. A fractional Hamilton system is taken as an example,and the quasi-symmetries of the system and corresponding fractional conserved quantities are given. The methods and results of this study are universal and can be extended to non-holonomic non-conservative dynamic systems,etc.

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- Memo:
- -

Last Update: 2018-06-30