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

作　　者：宋传静[1] SONG Chuanjing(School of Mathematical Sciences,SUST,Suzhou 215009,China)

机构地区：[1]苏州科技大学数学科学学院,江苏苏州215009

出　　处：《苏州科技大学学报（自然科学版）》2023年第4期25-30,共6页Journal of Suzhou University of Science and Technology（Natural Science Edition）

基　　金：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)。

摘　　要：研究了混合整数阶和Riemann-Liouville分数阶导数下的分数阶奇异系统。建立了分数阶奇异Lagrange方程和分数阶约束Hamilton方程。为了寻找该奇异系统微分方程的解,论文研究了Noether对称性,并得到了相应的守恒量。即,建立了混合整数阶和Riemann-Liouville分数阶导数下的分数阶奇异系统的Noether定理。This study investigates the fractional singular system within mixed integer order and Riemann-Liouville fractional derivatives.The fractional singular Lagrange equation and the fractional constrained Hamilton equation are established.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 

分 类 号：O316[理学—一般力学与力学基础]