WoS İndeksli Yayınlar Koleksiyonu

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

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

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  • Article
    Citation - WoS: 73
    Citation - Scopus: 94
    Fractional Electromagnetic Equations Using Fractional Forms
    (Springer/plenum Publishers, 2009) Golmankhaneh, Ali Khalili; Golmankhaneh, Alireza Khalili; Baleanu, Mihaela Cristina; Baleanu, Dumitru
    The generalized physics laws involving fractional derivatives give new models and conceptions that can be used in complex systems having memory effects. Using the fractional differential forms, the classical electromagnetic equations involving the fractional derivatives have been worked out. The fractional conservation law for the electric charge and the wave equations were derived by using this method. In addition, the fractional vector and scalar potentials and the fractional Poynting theorem have been derived.
  • 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.