On the families of fractional dynamical models
type: Item
instance of: scholarly article
title: On the families of fractional dynamical models
zbMATH Open document ID: 1380.26004
author: Shaokai Luo
author: Xiaotian Zhang
author: Jin-Man He
author: Yanli Xu
published in: Acta Mechanica
publication date: 2018-02-14T00:00:00Z
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 6838884
MaRDI profile type: Publication
full work available at URL: s00707-017-1909-1
OpenAlex ID: W2734251535
cites work: Q4167627
cites work: Q3715336
cites work: Q4885523
cites work: A new Lie symmetrical method of finding a conserved quantity for a dynamical system in phase space
cites work: Hojman exact invariants and adiabatic invariants of Hamilton system
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: Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms
cites work: Q3061543
cites work: A new type of non-Noether exact invariants and adiabatic invariants of generalized Hamiltonian systems
cites work: A Lie symmetrical basic integral variable relation and a new conservation law for generalized Hamiltonian systems
cites work: Stability for manifolds of equilibrium states of generalized Hamiltonian systems
cites work: Q4740120
cites work: Fractional variational calculus in terms of Riesz fractional derivatives
cites work: Generalized variational problems and Euler-Lagrange equations
cites work: Generalized variational calculus in terms of multi-parameters fractional derivatives
cites work: Fractional Hamiltonian formalism within Caputo's derivative
cites work: On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative
cites work: A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives
cites work: Fractional sequential mechanics - models with symmetric fractional derivative.
cites work: Lagrangean and Hamiltonian fractional sequential mechanics.
cites work: Optimality conditions for fractional variational problems with dependence on a combined Caputo derivative of variable order
cites work: Towards a combined fractional mechanics and quantization
cites work: Multiobjective fractional variational calculus in terms of a combined Caputo derivative
cites work: Inverse problem of fractional calculus of variations for partial differential equations
cites work: Fractional embedding of differential operators and Lagrangian systems
cites work: Fractional dynamics of relativistic particle
cites work: Nonholonomic constraints with fractional derivatives
cites work: Fractional generalized Hamiltonian mechanics
cites work: Fractional generalized Hamiltonian equations and its integral invariants
cites work: Fractional generalized Hamiltonian mechanics and Poisson conservation law in terms of combined Riesz derivatives
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: A new type of fractional Lie symmetrical method and its applications
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 Nambu dynamics
cites work: Fractional Birkhoffian mechanics
cites work: Stability for manifolds of the equilibrium state of fractional Birkhoffian systems
cites work: A general method of fractional dynamics, i.e., fractional Jacobi last multiplier method, and its applications
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Applications of fractional calculus in physics
cites work: Q4438588
cites work: Application of fractional derivatives in thermal analysis of disk brakes
cites work: Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis
cites work: Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives
cites work: Fractional relativistic Yamaleev oscillator model and its dynamical behaviors
cites work: Transient responses of an axially accelerating viscoelastic string constituted by a fractional differentiation law
cites work: Noether's theorem for fractional variational problem from El-Nabulsi extended exponentially fractional integral in phase space
cites work: Fractional calculus in viscoelasticity: an experimental study
cites work: Q4856154
cites work: Classical theory of radiating electrons
cites work: Hamiltonian formulation and action principle for the Lorentz-Dirac system
cites work: The action principle for a system of differential equations
cites work: Explicit integration of the Hénon-Heiles Hamiltonians 1
cites work: Classifying orbits in the classical Hénon-Heiles Hamiltonian system
DOI: 10.1007/S00707-017-1909-1
description: scientific article; zbMATH DE number 6838884