Noether's theorem of fractional Birkhoffian systems

DOI10.1016/j.jmaa.2017.07.056zbMath1387.26019OpenAlexW2741200719MaRDI QIDQ1746295

Xianqiang Yang

Publication date: 24 April 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.07.056

zbMATH Keywords

symmetriesfractional calculusNoether's theoremBirkhoffian systems

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (8)

Basic theory of fractional conformal invariance of Mei symmetry and its applications to physics ⋮ Fractional time-scales Noether theorem with Caputo \(\Delta\) derivatives for Hamiltonian systems ⋮ Local and global conserved quantities involving generalized operators ⋮ Conservation laws for systems of non-standard Birkhoffians with fractional derivatives ⋮ Non-standard Birkhoffian dynamics and its Noether's theorems ⋮ Adiabatic invariants for generalized fractional Birkhoffian mechanics and their applications ⋮ Time-scale version of generalized Birkhoffian mechanics and its symmetries and conserved quantities of Noether type ⋮ Nonshifted dynamics of constrained systems on time scales under Lagrange framework and its Noether's theorem

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