Lagrangian and Hamiltonian mechanics on fractals subset of real-line

DOI10.1007/s10773-013-1733-xzbMath1282.70033OpenAlexW2000276414MaRDI QIDQ395559

Ali Khalili Golmankhaneh, Dumitru Baleanu, Alireza Khalili Golmankhaneh

Publication date: 29 January 2014

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-013-1733-x

zbMATH Keywords

variational calculusPoisson bracketHamiltonian mechanicsLagrangian mechanicsfractal calculus

Mathematics Subject Classification ID

Hamilton's equations (70H05) Fractional derivatives and integrals (26A33) Fractals (28A80) Lagrange's equations (70H03)

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Cites Work

• Analytic solution for a nonlinear problem of magneto-thermoelasticity
• Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives
• Fractional electromagnetic equations using fractional forms
• Fractional kinetic equation for Hamiltonian chaos
• Brownian motion on the Sierpinski gasket
• Fractal differential equations on the Sierpiński gasket
• Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator
• On the fractional Hamilton and Lagrange mechanics
• Local fractional Fourier series with application to wave equation in fractal vibrating string
• Random walk and broad distributions on fractal curves
• Diffusion and Reactions in Fractals and Disordered Systems
• CALCULUS ON FRACTAL SUBSETS OF REAL LINE — I: FORMULATION
• Local Fractional Fokker-Planck Equation
• Fractional differentiability of nowhere differentiable functions and dimensions
• Harmonic calculus on fractals—A measure geometric approach II
• About non-differentiable functions
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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