Mathematics

CLC number: O316

Symmetries of Fractional Constrained Hamiltonian System Described by the Singular Lagrangian

由奇异Lagrange函数描述的约束Hamilton系统的对称性

School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, China

^† Corresponding author. E-mail: songchuanjingsun@mail.usts.edu.cn

Received: 28 September 2023

Abstract

Singular systems within combined fractional derivatives are established. Firstly, the fractional Lagrange equation is analyzed. Secondly, the fractional primary constraint is given. Thirdly, the Noether and Lie symmetry methods of fractional constrained Hamiltonian system are studied. Finally, the obtained results are illustrated with an example.

摘要

基于联合分数阶导数建立了奇异系统。首先，分析了分数阶Lagrange方程；其次，给出了分数阶初级约束；第三，研究了分数阶约束Hamilton系统的Noether对称性和Lie对称性方法；最后，举例对所得结果进行阐述。