Noether symmetry and conserved quantity for fractional Birkhoffian mechanics and its applications
type: Item
instance of: scholarly article
title: Noether symmetry and conserved quantity for fractional Birkhoffian mechanics and its applications
zbMATH Open document ID: 1437.70026
author: Chuan-Jing Song
author: Yi Zhang
publication date: 2018-10-19T00:00:00Z
Mathematics Subject Classification ID: 70H33
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 70H45
zbMATH DE Number: 6958688
zbMATH Keywords: Noether symmetry
zbMATH Keywords: conserved quantity
zbMATH Keywords: fractional Birkhoffian system
zbMATH Keywords: Riemann-Liouville derivative
zbMATH Keywords: Caputo derivative
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1515/fca-2018-0028
OpenAlex ID: W2808000091
cites work: Fractional variational calculus in terms of Riesz fractional derivatives
cites work: Generalized variational problems and Euler-Lagrange equations
cites work: Variational problems with fractional derivatives: invariance conditions and Nöther's theorem
cites work: On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative
cites work: Stochastic averaging of strongly nonlinear oscillators with small fractional derivative damping under combined harmonic and white noise excitations
cites work: Transient responses of an axially accelerating viscoelastic string constituted by a fractional differentiation law
cites work: A fractional gradient representation of the Poincaré equations
cites work: Fractional differential models in finite viscoelasticity
cites work: A counterexample to a Frederico-Torres fractional Noether-type theorem
cites work: Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
cites work: Fractional Noether's theorem with classical and Caputo derivatives: constants of motion for non-conservative systems
cites work: A formulation of Noether's theorem for fractional problems of the calculus of variations
cites work: Fractional conservation laws in optimal control theory
cites work: Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense
cites work: Fractional Noether's theorem in the Riesz-Caputo sense
cites work: Q3996287
cites work: On the inverse problem of the calculus of variations
cites work: Fractional variational optimal control problems with delayed arguments
cites work: Noether symmetries and conserved quantities for fractional forced Birkhoffian systems
cites work: Stationarity$ndash$conservation laws for fractional differential equations with variable coefficients
cites work: Fractional generalized Hamiltonian mechanics
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 Birkhoffian mechanics
cites work: A formulation of the fractional Noether-type theorem for multidimensional Lagrangians
cites work: Fractional calculus of variations for a combined Caputo derivative
cites work: Towards a combined fractional mechanics and quantization
cites work: Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
cites work: Generalized fractional calculus with applications to the calculus of variations
cites work: Q3321501
cites work: Nonholonomic constraints with fractional derivatives
cites work: Stability for manifolds of equilibrium states of fractional generalized Hamiltonian systems
cites work: Noether's theorem for fractional Birkhoffian systems of variable order
cites work: Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay
cites work: Noether symmetries and conserved quantities for fractional Birkhoffian systems
DOI: 10.1515/FCA-2018-0028
Wikidata QID: Q129725234
published in: Fractional Calculus \ Applied Analysis
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description: scientific article; zbMATH DE number 6958688