WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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2009 - 200912010 - 20131

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Publisher: search.filters.publisher.Springer/plenum PublishersSubject: search.filters.subject.Hamiltonian Mechanics

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  • Article
    Citation - WoS: 19
    Citation - Scopus: 25
    Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line
    (Springer/plenum Publishers, 2013) Golmankhaneh, Ali Khalili; Baleanu, Dumitru; Golmankhaneh, Alireza Khalili
    A discontinuous media can be described by fractal dimensions. Fractal objects has special geometric properties, which are discrete and discontinuous structure. A fractal-time diffusion equation is a model for subdiffusive. In this work, we have generalized the Hamiltonian and Lagrangian dynamics on fractal using the fractional local derivative, so one can use as a new mathematical model for the motion in the fractal media. More, Poisson bracket on fractal subset of real line is suggested.
  • Article
    Citation - WoS: 24
    Citation - Scopus: 33
    Fractional Nambu Mechanics
    (Springer/plenum Publishers, 2009) Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru
    The fractional generalization of Nambu mechanics is constructed by using the differential forms and exterior derivatives of fractional orders. The generalized Pfaffian equations are obtained and one example is investigated in details.