Lagrangian and Hamiltonian Formulations of the Damped Harmonic Oscillator Using Caputo Fractional Derivative

DOI10.1080/1726037X.2010.10698578zbMath1337.70032MaRDI QIDQ3008085

Eqab M. Rabei, Khaldoun M. Tarawneh, Humam B. Ghassib

Publication date: 14 June 2011

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationsnonconservative systemsCaputo fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Lagrange's equations (70H03)

Related Items (2)

On the fractional Hamilton and Lagrange mechanics ⋮ On a new generalized local fractal derivative operator

Cites Work

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• Generalized Euler—Lagrange Equations and Transversality Conditions for FVPs in terms of the Caputo Derivative
• Simple Solutions of the Fractional Dirac Equation of Order 2/3
• Time fractional Schrödinger equation
• Irreversibility and Generalized Noise

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