A new type of fractional Lie symmetrical method and its applications
type: Item
instance of: scholarly article
title: A new type of fractional Lie symmetrical method and its applications
zbMATH Open document ID: 1432.34017
author: Xiaotian Zhang
author: Jin-Man He
author: Shaokai Luo
published in: International Journal of Theoretical Physics
publication date: 2017-04-18T00:00:00Z
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C14
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 6706001
zbMATH Keywords: fractional Lie symmetry
zbMATH Keywords: conserved quantity
zbMATH Keywords: fractional generalized Hamiltonian system
zbMATH Keywords: fractional Duffing oscillator model
zbMATH Keywords: fractional Lotka biochemical oscillator model
MaRDI profile type: Publication
full work available at URL: s10773-016-3240-3
OpenAlex ID: W2561044657
cites work: Dynamical symmetries and conserved quantities
cites work: A new conservation law constructed without using either Lagrangians or Hamiltonians
cites work: Conserved quantities from non-Noether symmetries without alternative Lagrangians
cites work: Q3061690
cites work: A Lie symmetrical basic integral variable relation and a new conservation law for generalized Hamiltonian systems
cites work: Conformal invariance and conserved quantity for the nonholonomic system of Chetaev's type
cites work: Conformal invariance for the nonholonomic constrained mechanical system of non-Chetaev's type
cites work: Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system
cites work: Lie symmetry and approximate Hojman conserved quantity of Appell equations for a weakly nonholonomic system
cites work: Special Lie symmetry and Hojman conserved quantity of Appell equations for a Chetaev nonholonomic system
cites work: Perturbation to symmetry and adiabatic invariants of discrete nonholonomic nonconservative mechanical system
cites work: Hojman exact invariants and adiabatic invariants of Hamilton system
cites work: Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems
cites work: Lie symmetries, symmetrical perturbation and a new adiabatic invariant for disturbed nonholonomic systems
cites work: Lie symmetrical perturbation and a new type of non-Noether adiabatic invariants for disturbed generalized Birkhoffian systems
cites work: Q4740120
cites work: Generalized variational problems and Euler-Lagrange equations
cites work: Fractional Hamiltonian formalism within Caputo's derivative
cites work: On the fractional Hamilton and Lagrange mechanics
cites work: Lagrangean and Hamiltonian fractional sequential mechanics.
cites work: Fractional embedding of differential operators and Lagrangian systems
cites work: Calculus of variations with fractional derivatives and fractional integrals
cites work: Fractional dynamics of relativistic particle
cites work: Fractional Birkhoffian mechanics
cites work: A general method of fractional dynamics, i.e., fractional Jacobi last multiplier method, and its applications
cites work: Fractional Nambu dynamics
cites work: On the hamiltonian structure of non-local field theories
cites work: Generalized classical dynamics, and the ‘classical analogue’ of a Fermioscillator
cites work: Contracted Hamiltonian on symmetric space \(SU(3)/SU(2)\) and conserved quantities
cites work: Symmetries and conservation laws for generalized Hamiltonian systems
cites work: A new type of non-Noether exact invariants and adiabatic invariants of generalized Hamiltonian systems
cites work: Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms
cites work: A new method of fractional dynamics, i.e., fractional Mei symmetrical method for finding conserved quantity, and its applications to physics
cites work: Fractional generalized Hamiltonian mechanics and Poisson conservation law in terms of combined Riesz derivatives
cites work: Fractional generalized Hamiltonian mechanics
cites work: Fractional generalized Hamiltonian equations and its integral invariants
cites work: Lie algebraic structure and generalized Poisson conservation law for fractional generalized Hamiltonian systems
cites work: Stability for manifolds of equilibrium states of fractional generalized Hamiltonian systems
cites work: A new method of dynamical stability, i.e. fractional generalized Hamiltonian method, and its applications
cites work: Fractional Lorentz-Dirac model and its dynamical behaviors
cites work: Fractional relativistic Yamaleev oscillator model and its dynamical behaviors
cites work: Q4885523
cites work: Application of Hamilton-Jacobi theory to the Lotka-Volterra oscillator
DOI: 10.1007/S10773-016-3240-3
description: scientific article; zbMATH DE number 6706001