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Browsing by Author "Rabei, Eqab"

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    Article
    Citation Count: Sadallah, M...et al. (2011). Fractional time action and perturbed gravity. Fractals-Complex Geometry Patterns and Scaling In Nature and Society, 19(2), 243-247. http://dx.doi.org/10.1142/S0218348X11005294
    Fractional time action and perturbed gravity
    (World Scientific, 2011) Sadallah, Madhat; Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab
    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
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    Article
    Citation Count: Muslih, S.I., Baleanu, D., Rabei, E. (2006). Hamiltonian formulation of classical fields within Riemann-Liouville fractional derivatives. Physica Scripta, 73(5), 436-438. http://dx.doi.org/10.1088/0031-8949/73/5/003
    Hamiltonian formulation of classical fields within Riemann-Liouville fractional derivatives
    (Royal Swedish Acad Sciences, 2006) Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab
    The fractional Hamiltonian formulation and the fractional path integral quantization of fields are analysed. Dirac and Schrodinger fields are investigated in detail