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Fractional mechanics on the extended phase space

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2010

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Amer Soc Mechanical Engineers

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Abstract

Fractional calculus has gained a lot of importance and potential applications in several areas of science and engineering. The fractional dynamics and the fractional variational principles started to be used intensively as an alternative tool in order to describe the physical complex phenomena. In this paper we have discussed the fractional extension of the classical dynamics. The fractional Hamiltonian is constructed and the fractional generalized Poisson's brackets on the extended phase space is established.

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Euler-Lagrange Equations, Hamiltonian-Formulation, Differential-Equations, Sequential Mechanics, Numerical Scheme, Derivatives, Diffusion, Formalism, Calculus, Linear Velocities

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Citation

Baleanu, Dumitru...et.al. (2010). "Fractional mechanics on the extended phase space", Proceedings Of Asme International Design Engineering Technical Conferences And Computers And İnformation İn Engineering Conference, Vol 4, Pts A-C, pp.1025-1030.

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Proceedings Of Asme International Design Engineering Technical Conferences And Computers And İnformation İn Engineering Conference, Vol 4, Pts A-C

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1025

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1030