| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 3, June 2022
|
|
|---|---|---|
| Page(s) | 201 - 210 | |
| DOI | https://doi.org/10.1051/wujns/2022273201 | |
| Published online | 24 August 2022 | |
Mathematics
CLC number: O 316
Conserved Quantity for Fractional Constrained Hamiltonian System
1
School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou
215009, Jiangsu, China
2
College of Civil Engineering, Suzhou University of Science and Technology, Suzhou
215009, Jiangsu, China
† To whom correspondence should be addressed. E-mail: songchuanjingsun@126.com
Received:
8
February
2022
Singular system has great relationship with gauge field theory, condensed matter theory and some other research areas. Based on the mixed integer and Riemann-Liouville fractional derivatives, the fractional singular system is studied. Firstly, the fractional constrained Hamilton equation and the fractional inherent constraint are presented. Secondly, Lie symmetry and conserved quantity are analyzed, including determined equation, limited equation, additional limited equation and structural equation. And finally, an example is given to illustrate the methods and results.
Key words: fractional constrained Hamilton equation / inherent constraint / Lie symmetry / conserved quantity
Biography: SONG Chuanjing, female, Ph. D., Associate professor, research direction: mathematical methods in classical mechanics. E-mail: songchuanjing sun@126.com
Foundation item: Supported by the National Natural Science Foundation of China (12172241, 11802193, 11972241), the Natural Science Foundation of Jiangsu Province (BK20191454) and the "Qinglan Project" of Jiangsu Province
© Wuhan University 2022
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