WoS İndeksli Yayınlar Koleksiyonu

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

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2009 - 200912010 - 20121

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Publisher: search.filters.publisher.Springer/plenum PublishersSubject: search.filters.subject.Fractional Derivative

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  • Article
    Citation - WoS: 25
    Citation - Scopus: 27
    On the Fractional Hamilton and Lagrange Mechanics
    (Springer/plenum Publishers, 2012) Yengejeh, Ali Moslemi; Baleanu, Dumitru; Golmankhaneh, Alireza Khalili
    The fractional generalization of Hamiltonian mechanics is constructed by using the Lagrangian involving fractional derivatives. In this paper the equation of projectile motion with air friction using fractional Hamiltonian mechanics and equation for current loop involving electric source, a resistor, an inductor and a capacitor has been obtained. Furthermore, fractional optics has been introduced.
  • 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.