Fractional Odd-Dimensional Mechanics
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Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
Springer international Publishing Ag
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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
Scopus Q

OpenCitations Citation Count
2
Source
Advances in Difference Equations
Volume
2011
Issue
Start Page
1
End Page
12
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Citations
Scopus : 4
Captures
Mendeley Readers : 6
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