A new type of fractional Lie symmetrical method and its applications
From MaRDI portal
Publication:522614
DOI10.1007/S10773-016-3240-3zbMath1432.34017OpenAlexW2561044657MaRDI QIDQ522614
Shao-Kai Luo, Jin-Man He, Xiao-Tian Zhang
Publication date: 18 April 2017
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-016-3240-3
conserved quantityfractional generalized Hamiltonian systemfractional Duffing oscillator modelfractional Lie symmetryfractional Lotka biochemical oscillator model
Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Fractional ordinary differential equations (34A08)
Related Items (5)
Basic theory of fractional Mei symmetrical perturbation and its applications ⋮ Basic theory of fractional conformal invariance of Mei symmetry and its applications to physics ⋮ On the families of fractional dynamical models ⋮ Conserved quantities of conservative continuous systems by Mei symmetries ⋮ A new method of fractional dynamics, i.e., fractional generalized Hamilton method with additional terms, and its applications to physics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms
- Lie symmetry and approximate Hojman conserved quantity of Appell equations for a weakly nonholonomic system
- Fractional generalized Hamiltonian mechanics
- A Lie symmetrical basic integral variable relation and a new conservation law for generalized Hamiltonian 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 type of non-Noether exact invariants and adiabatic invariants of generalized Hamiltonian systems
- Lie symmetries, symmetrical perturbation and a new adiabatic invariant for disturbed nonholonomic systems
- Lie symmetrical perturbation and a new type of non-Noether adiabatic invariants for disturbed generalized Birkhoffian systems
- Perturbation to symmetry and adiabatic invariants of discrete nonholonomic nonconservative mechanical system
- A new method of fractional dynamics, i.e., fractional Mei symmetrical method for finding conserved quantity, and its applications to physics
- A new method of dynamical stability, i.e. fractional generalized Hamiltonian method, and its applications
- Fractional Nambu dynamics
- Calculus of variations with fractional derivatives and fractional integrals
- Fractional Hamiltonian formalism within Caputo's derivative
- Conserved quantities from non-Noether symmetries without alternative Lagrangians
- Generalized variational problems and Euler-Lagrange equations
- Symmetries and conservation laws for generalized Hamiltonian systems
- Application of Hamilton-Jacobi theory to the Lotka-Volterra oscillator
- Fractional relativistic Yamaleev oscillator model and its dynamical behaviors
- Lagrangean and Hamiltonian fractional sequential mechanics.
- On the fractional Hamilton and Lagrange mechanics
- A general method of fractional dynamics, i.e., fractional Jacobi last multiplier method, and its applications
- Conformal invariance and conserved quantity for the nonholonomic system of Chetaev's type
- Fractional dynamics of relativistic particle
- Fractional Lorentz-Dirac model and its dynamical behaviors
- Fractional Birkhoffian mechanics
- Contracted Hamiltonian on symmetric space \(SU(3)/SU(2)\) and conserved quantities
- Fractional generalized Hamiltonian equations and its integral invariants
- Special Lie symmetry and Hojman conserved quantity of Appell equations for a Chetaev nonholonomic system
- Fractional generalized Hamiltonian mechanics and Poisson conservation law in terms of combined Riesz derivatives
- Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system
- Stability for manifolds of equilibrium states of fractional generalized Hamiltonian systems
- Hojman Exact Invariants and Adiabatic Invariants of Hamilton System
- Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems
- Dynamical symmetries and conserved quantities
- Generalized classical dynamics, and the ‘classical analogue’ of a Fermioscillator
- Fractional embedding of differential operators and Lagrangian systems
- A new conservation law constructed without using either Lagrangians or Hamiltonians
- On the hamiltonian structure of non-local field theories
This page was built for publication: A new type of fractional Lie symmetrical method and its applications
