Generalization of Mei symmetry approach to fractional Birkhoffian mechanics
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DOI: 10.1016/j.chaos.2022.112971
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References listed on IDEAS
- Song, Chuan-Jing & Cheng, Yao, 2020. "Noether's theorems for nonshifted dynamic systems on time scales," Applied Mathematics and Computation, Elsevier, vol. 374(C).
- Ding, Juan-Juan & Zhang, Yi, 2020. "Noether’s theorem for fractional Birkhoffian system of Herglotz type with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
- Zhang, Yi, 2019. "Lie symmetry and invariants for a generalized Birkhoffian system on time scales," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 306-312.
- Yun-Die Jia & Yi Zhang, 2021. "Fractional Birkhoffian Mechanics Based on Quasi-Fractional Dynamics Models and Its Noether Symmetry," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-17, April.
- EL-Nabulsi, Ahmad Rami, 2009. "Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 52-61.
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Cited by:
- Jin, Shi-Xin & Chen, Xiang-Wei & Li, Yan-Min, 2024. "Approximate Noether theorem and its inverse for nonlinear dynamical systems with approximate nonstandard Lagrangian," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
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Keywords
Fractional Birkhoffian system; Mei symmetry; Mei conserved quantity; Quasi-fractional dynamics model;All these keywords.
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