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Browsing by Author "Rabei, Eqab"

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    Citation - WoS: 8
    Citation - Scopus: 8
    Fractional time action and perturbed gravity
    (World Scientific Publ Co Pte Ltd, 2011) Sadallah, Madhat; Baleanu, Dumitru; Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab; Matematik
    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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    Citation - WoS: 26
    Citation - Scopus: 30
    Lagrangian formulation of Maxwell's field in fractional D dimensional space-time
    (Editura Acad Romane, 2010) Muslih, Sami I.; Baleanu, Dumitru; Saddallah, Madhat; Baleanu, Dumitru; Rabei, Eqab; Matematik
    The Lagrangian formulation for field systems is obtained in fractional space-time fractional dimensions D = D-space + D-time. The equations of motion for Maxwell's field are obtained. It is shown that the form of Maxwell's equations in fractional dimensional space are not invariant and they can be solved in the same manner as in the integer space-time dimensions.