Noether's theorem for fractional variational problem from El-Nabulsi extended exponentially fractional integral in phase space

DOI10.1007/S00707-013-0956-5zbMath1356.70023OpenAlexW1994583513MaRDI QIDQ2435335

Zi-Xuan Long, Yi Zhang

Publication date: 5 February 2014

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-013-0956-5

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 (14)

Variational problem of Herglotz type for Birkhoffian system and its Noether's theorems ⋮ Noether symmetries and conserved quantities for fractional forced Birkhoffian systems ⋮ Conserved quantities and adiabatic invariants for El-Nabulsi's fractional Birkhoff system ⋮ Noether symmetries and conserved quantities for fractional Birkhoffian systems ⋮ Noether's theorem for fractional Birkhoffian systems of variable order ⋮ Euler-Lagrange equations for Lagrangians containing complex-order fractional derivatives ⋮ Symmetry reduction, conservation laws and power series solution of time-fractional variable coefficient Caudrey-Dodd-Gibbon-Sawada-Kotera equation ⋮ On the families of fractional dynamical models ⋮ Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay ⋮ Noether symmetries for non-conservative Lagrange systems with time delay based on fractional model ⋮ Conserved quantities for Hamiltonian systems on time scales ⋮ Noether symmetry and conserved quantity for Hamiltonian system of Herglotz type on time scales ⋮ Noether Symmetry and Conserved Quantities of Fractional Birkhoffian System in Terms of Herglotz Variational Problem ⋮ Perturbation to Noether symmetries and adiabatic invariants for disturbed Hamiltonian systems based on El-Nabulsi nonconservative dynamics model

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