Symmetries of Fractional Constrained Hamiltonian System Described by the Singular Lagrangian

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.

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Publication Details

Journal
Wuhan University Journal of Natural Sciences
Published
2024-12-01
DOI
https://doi.org/10.1051/wujns/2024296547
Primary Topic
Nonlinear Waves and Solitons
Type
article
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article

Symmetries of Fractional Constrained Hamiltonian System Described by the Singular Lagrangian

Chuan-Jing Song, Cai Wang
Wuhan University Journal of Natural Sciences
Nonlinear Waves and Solitons
article

Symmetries of Fractional Constrained Hamiltonian System Described by the Singular Lagrangian

Chuan-Jing Song, Cai Wang
article en

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.

Wuhan University Journal of Natural SciencesVol. 29(6)
Openalex Percentile: Top 76%
Nonlinear Waves and Solitons
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Symmetries of Fractional Constrained Hamiltonian System Described by the Singular Lagrangian — Chuan-Jing Song, Cai Wang · Wuhan University Journal of Natural Sciences (2024) | TGRS Research Map | TGRS