| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 28, Number 3, June 2023
|
|
|---|---|---|
| Page(s) | 207 - 216 | |
| DOI | https://doi.org/10.1051/wujns/2023283207 | |
| Published online | 13 July 2023 | |
Mathematics
CLC number: O316
Noether Theorem for Fractional Singular Systems
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
Received:
11
June
2022
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.
Key words: singular system / fractional primary constraint / fractional constrained Hamilton equation / Noether theorem / conserved quantity
Biography: SONG Chuanjing, female, Ph. D., Associate professor, research direction: mathematical methods of classical mechanics. E-mail: songchuanjingsun@126.com
Fundation item: Supported by the National Natural Science Foundation of China (12172241, 12002228, 12272248, 11972241) and Qing Lan Project of Colleges and Universities in Jiangsu Province
© Wuhan University 2023
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