Fractional oscillators from non-standard Lagrangians and time-dependent fractional exponent
type: Item
instance of: scholarly article
title: Fractional oscillators from non-standard Lagrangians and time-dependent fractional exponent
zbMATH Open document ID: 1348.70076
published in: Computational and Applied Mathematics
publication date: 2015-01-30T00:00:00Z
Mathematics Subject Classification ID: 70S05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 49S05
zbMATH DE Number: 6393131
zbMATH Keywords: fractional action-like variational approach
zbMATH Keywords: non-standard Lagrangians
zbMATH Keywords: time-dependent fractional exponent
zbMATH Keywords: fractional oscillators
author: Ahmad Rami El-Nabulsi
MaRDI profile type: Publication
full work available at URL: s40314-013-0053-3
OpenAlex ID: W2078783688
cites work: Generalized variational calculus in terms of multi-parameters fractional derivatives
cites work: Calculus of variations with fractional derivatives and fractional integrals
cites work: On Dissipative Systems and Related Variational Principles
cites work: Quantal phase factors accompanying adiabatic changes
cites work: Q5780992
cites work: Lagrangian formalism for nonlinear second-order Riccati systems: One-dimensional integrability and two-dimensional superintegrability
cites work: A simple and unified approach to identify integrable nonlinear oscillators and systems
cites work: Q5546658
cites work: Mechanics with variable-order differential operators
cites work: Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation
cites work: Q3369889
cites work: Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)
cites work: Fractional actionlike variational problems
cites work: FRACTIONAL QUANTUM EULER–CAUCHY EQUATION IN THE SCHRÖDINGER PICTURE, COMPLEXIFIED HARMONIC OSCILLATORS AND EMERGENCE OF COMPLEXIFIED LAGRANGIAN AND HAMILTONIAN DYNAMICS
cites work: A periodic functional approach to the calculus of variations and the problem of time-dependent damped harmonic oscillators
cites work: Fractional variational problems from extended exponentially fractional integral
cites work: Lagrangian and Hamiltonian dynamics with imaginary time
cites work: Crypto-harmonic oscillator in higher dimensions: classical and quantum aspects
cites work: Q5359734
cites work: The second-order Klein-Gordon field equation
cites work: Q3076839
cites work: Fractional Euler-Lagrange equations revisited
cites work: Applications of fractional calculus in physics
cites work: On the inverse problem of the calculus of variations
cites work: On Mathieu equation with damping
cites work: One-parameter squeezed Gaussian states of a time-dependent harmonic oscillator and the selection rule for vacuum states
cites work: Energy evolution in the time-dependent harmonic oscillator with arbitrary external forcing
cites work: Exact Quantization Conditions. II
cites work: The Inverse Variational Problem in Classical Mechanics
cites work: Variable order and distributed order fractional operators
cites work: Reiterated homogenization of non-standard Lagrangians
cites work: Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
cites work: Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients
cites work: General conditions for the existence of non-standard Lagrangians for dissipative dynamical systems
cites work: Lagrangians for Dissipative Nonlinear Oscillators: The Method of Jacobi Last Multiplier
cites work: The Hamilton formalism with fractional derivatives
cites work: On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
cites work: Some properties of WKB series
cites work: Fractional integration operator of variable order in the Hölder spaces \(H^{\lambda (x)}\)
cites work: Integration and differentiation to a variable fractional order
cites work: Fractional integration and differentiation of variable order
cites work: The Helmholtz conditions revisited. A new approach to the inverse problem of Lagrangian dynamics
cites work: Nonintegrability of the two-body problem in constant curvature spaces
cites work: Cryptogauge symmetry and cryptoghosts for crypto-Hermitian Hamiltonians
cites work: Nonstandard Lagrangian tori and pseudotoric structures
DOI: 10.1007/S40314-013-0053-3
description: scientific article