Lie symmetries and their inverse problems of nonholonomic Hamilton systems with fractional derivatives

DOI10.1016/j.physleta.2015.10.002zbMath1377.70032OpenAlexW1859846159MaRDI QIDQ1690990

Yi Sun, Li-Ping Fu, Ben-Yong Chen, Jing-li Fu

Publication date: 12 January 2018

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2015.10.002

zbMATH Keywords

inverse problemfractional derivativeLie symmetrynonholonomic Hamilton system

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws in mechanics of particles and systems (70S10) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items (6)

Preservation of adiabatic invariants for disturbed Hamiltonian systems under variational discretization ⋮ Conserved quantities of conservative continuous systems by Mei symmetries ⋮ Conservation laws for systems of non-standard Birkhoffians with fractional derivatives ⋮ General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem ⋮ Adiabatic invariants for generalized fractional Birkhoffian mechanics and their applications ⋮ Noether symmetry for fractional Hamiltonian system

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