苏州科技大学学报（自然科学版）2023，Vol.40Issue(4)：25-30,6.DOI:10.12084/j.issn.2096-3289.2023.04.004
具有混合导数的分数阶约束Hamilton系统的Noether对称性
Noether symmetry for fractional constrained Hamiltonian system within mixed derivatives
摘要
Abstract
This study investigates the fractional singular system within mixed integer order and Riemann-Liouville frac-tional derivatives.The fractional singular Lagrange equation and the fractional constrained Hamilton equation are estab-lished.To find the solutions to the differential equations of motion for this singular system,Noether symmetry method has been studied and the corresponding conserved quantity has been investigated.Namely,Noether theorems of the fractional singular system within mixed integer order and Riemann-Liouville fractional derivatives are established.关键词
分数阶约束Hamilton系统/Noether对称性/守恒量Key words
fractional constrained Hamiltonian system/Noether symmetry/conserved quantity分类
数理科学引用本文复制引用
宋传静..具有混合导数的分数阶约束Hamilton系统的Noether对称性[J].苏州科技大学学报（自然科学版）,2023,40(4):25-30,6.基金项目
国家自然科学基金项目(12172241 （）
11972241 （）
12272248 （）
11802193) （）
江苏高校"青蓝工程"项目 （）
江苏省自然科学基金项目(BK20191454) （BK20191454）
