Noether Theorem for Fractional Singular Systems

SONG Chuanjing ¹ZHAI Xianghua²

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作者信息

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
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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 con-strained Hamilton equations are given.Then,the fractional Noether theorems of the two fractional singular systems are established,includ-ing the fractional Noether identities,the fractional Noether quasi-identities and the fractional conserved quantities.Finally,the results ob-tained are illustrated by two examples.

Key words

singular system/fractional primary constraint/fractional constrained Hamilton equation/Noether theorem/conserved quantity

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基金项目

National Natural Science Foundation of China(12172241)

National Natural Science Foundation of China(12002228)

National Natural Science Foundation of China(12272248)

National Natural Science Foundation of China(11972241)

Qing Lan Project of Colleges and Universities in Jiangsu Province()

出版年

2023

武汉大学自然科学学报(英文版)

武汉大学

武汉大学自然科学学报(英文版)

CSTPCDCSCD北大核心

影响因子：0.066

ISSN：1007-1202

参考文献量2

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