Noether Theorem for Fractional Singular Systems

被引：1

作者：

SONG Chuanjing ^{[1
]}

ZHAI Xianghua ^{[2
]}

机构：

[1] School of Mathematical Sciences, Suzhou University of Science and Technology

[2] College of Civil Engineering, Suzhou University of Science and Technology

来源：

WuhanUniversityJournalofNaturalSciences | 2023年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

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.

引用

页码：207 / 216

页数：10

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