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Fractional Odd-Dimensional Mechanics

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Date

2011

Journal Title

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Volume Title

Publisher

Springer international Publishing Ag

Open Access Color

GOLD

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No

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Abstract

The classical Nambu mechanics is generalized to involve fractional derivatives using two different methods. The first method is based on the definition of fractional exterior derivative and the second one is based on extending the standard velocities to the fractional ones. Fractional Nambu mechanics may be used for nonintegrable systems with memory. Further, Lagrangian which is generate fractional Nambu equations is defined.

Description

Khalili Golmankhaneh, Alireza/0000-0003-1529-7807; , Alireza/0000-0002-3490-7976; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163

Keywords

Lagrangian mechanics, Mechanics, Mathematical analysis, Quantum mechanics, Quantum statistical mechanics, Quantum, Differential equation, Numerical Integration Methods for Differential Equations, QA1-939, FOS: Mathematics, Fluid mechanics, Classical mechanics, Anomalous Diffusion Modeling and Analysis, Lagrangian, Numerical Analysis, Algebra and Number Theory, Applied Mathematics, Physics, Fractional calculus, Statistical and Nonlinear Physics, Analytical mechanics, Partial differential equation, Applied mathematics, Fractional Derivatives, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Fractional Calculus, Analysis, Mathematics, Ordinary differential equation, Rogue Waves in Nonlinear Systems, Hamilton's equations, Fractional derivatives and integrals, Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems

Fields of Science

02 engineering and technology, 01 natural sciences, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering

Citation

Golmankhaneh, A.K...et al. (2011). Fractional odd-dimensional mechanics. Advance in Difference Equations. http://dx.doi.org/10.1155/2011/526472

WoS Q

Q1

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OpenCitations Citation Count
2

Source

Advances in Difference Equations

Volume

2011

Issue

Start Page

1

End Page

12
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Scopus : 4

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Mendeley Readers : 6

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