Basic theory of fractional conformal invariance of Mei symmetry and its applications to physics
DOI10.1007/s10773-017-3635-9zbMath1391.70054OpenAlexW2774911496MaRDI QIDQ1643469
Yun Dai, Ming-Jing Yang, Xiao-Tian Zhang, Shao-Kai Luo
Publication date: 19 June 2018
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-017-3635-9
conserved quantityMei symmetryfractional generalized Hamiltonian systemfractional dynamical modelfractional conformal invariance
Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
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Cites Work
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- Fractional generalized Hamilton method for equilibrium stability of dynamical systems
- Noether symmetries and conserved quantities for fractional forced Birkhoffian systems
- Noether's theorem for fractional Birkhoffian systems of variable order
- Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms
- Conformal invariance of Mei symmetry and conserved quantities of Lagrange equation of thin elastic rod
- Fractional generalized Hamiltonian mechanics
- Conformal invariance of Mei symmetry for discrete Lagrangian systems
- Conformal invariance for the nonholonomic constrained mechanical system of non-Chetaev's type
- Lie algebraic structure and generalized Poisson conservation law for fractional generalized Hamiltonian systems
- A new method of fractional dynamics, i.e., fractional Mei symmetrical method for finding conserved quantity, and its applications to physics
- A new type of fractional Lie symmetrical method and its applications
- Generalized variational calculus in terms of multi-parameters fractional derivatives
- A new method of dynamical stability, i.e. fractional generalized Hamiltonian method, and its applications
- A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives
- Generalized conformal symmetries and its application of Hamilton systems
- Fractional Nambu dynamics
- On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative
- Calculus of variations with fractional derivatives and fractional integrals
- Fractional relativistic Yamaleev oscillator model and its dynamical behaviors
- On the families of fractional dynamical models
- Noether's theorem of fractional Birkhoffian systems
- Lagrangean and Hamiltonian fractional sequential mechanics.
- Conformal invariance of Mei symmetry for the non-holonomic systems of non-Chetaev's type
- On the fractional Hamilton and Lagrange mechanics
- A conformal invariance for generalized Birkhoff equations
- Special Mei symmetry and approximate conserved quantity of Appell equations for a weakly nonholonomic system
- A general method of fractional dynamics, i.e., fractional Jacobi last multiplier method, and its applications
- Fractional dynamics of relativistic particle
- Perturbation to Mei symmetry and generalized Mei adiabatic invariants for Birkhoffian systems
- Fractional Lorentz-Dirac model and its dynamical behaviors
- Conformal invariance and conserved quantity of Mei symmetry for Appell equations in a nonholonomic system of Chetaev's type
- Fractional Birkhoffian mechanics
- Conformal invariance for nonholonomic system of Chetaev's type with variable mass
- Conformal invariance and conserved quantity of Mei symmetry for higher-order nonholonomic system
- Fractional generalized Hamiltonian equations and its integral invariants
- Fractional generalized Hamiltonian mechanics and Poisson conservation law in terms of combined Riesz derivatives
- Stability for manifolds of the equilibrium state of fractional Birkhoffian systems
- Stability for manifolds of equilibrium states of fractional generalized Hamiltonian systems
- Conserved quantities and adiabatic invariants for El-Nabulsi's fractional Birkhoff system
- Fractional calculus of variations for a combined Caputo derivative
- Dynamical symmetries and conserved quantities
- A direct approach to the construction of standard and non-standard Lagrangians for dissipative-like dynamical systems with variable coefficients
- On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations
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