WoS İndeksli Yayınlar Koleksiyonu

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

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  • Article
    Citation - WoS: 9
    Citation - Scopus: 8
    Fractional Time Action and Perturbed Gravity
    (World Scientific Publ Co Pte Ltd, 2011) Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab; Sadallah, Madhat
    In this paper, we used the scaling concepts of Mandelbrot of fractals in variational problems of mechanical systems in order to re-write the action integral function as an integration over the fractional time. In addition, by applying the variational principle to this new fractional action, we obtained the modified Euler-Lagrange equations of motion in any fractional time of order 0 < alpha <= 1. Two examples are investigated in detail.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 5
    Fractional Euler-Lagrange and Fractional Hamilton Equations for Super Symmetric Classical Model
    (World Scientific Publ Co Pte Ltd, 2007) Muslih, Sami I.; Baleanu, Dumitru
    Fractional Euler-Lagrange equations were investigated in the presence of the elements of Berezin algebra. The super fractional Hessian was defined and the fractional Hamiltonian of the super symmetric classical model was constructed.