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Noether’s Symmetries and Its Inverse for Fractional Logarithmic Lagrangian Systems

Author

Listed:
  • Jiang Jun

    (School of Science, Wuhan University of Science and Technology, Wuhan430065, China)

  • Feng Yuqiang

    (School of Science, Wuhan University of Science and Technology, Wuhan430065, China)

  • Xu Shuli

    (School of Science, Wuhan University of Science and Technology, Wuhan430065, China)

Abstract

In this paper, Noether’s theorem and its inverse theorem are proved for the fractional variational problems based on logarithmic Lagrangian systems. The Hamilton principle of the systems is derived. And the definitions and the criterions of Noether’s symmetry and Noether’s quasi-symmetry of the systems based on logarithmic Lagrangians are given. The intrinsic relation between Noether’s symmetry and the conserved quantity is established. At last an example is given to illustrate the application of the results.

Suggested Citation

  • Jiang Jun & Feng Yuqiang & Xu Shuli, 2019. "Noether’s Symmetries and Its Inverse for Fractional Logarithmic Lagrangian Systems," Journal of Systems Science and Information, De Gruyter, vol. 7(1), pages 90-98, February.
    • Handle: RePEc:bpj:jossai:v:7:y:2019:i:1:p:90-98:n:6
    DOI: 10.21078/JSSI-2019-090-09
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