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Browsing by Author "Sadallah, Madhat"

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    Equations of Motion for Einstein's Field in Non-Integer Dimensional Space
    (inst Physics Acad Sci Czech Republic, 2006) Muslih, Sami I.; Baleanu, Dumitru; Sadallah, Madhat
    Equations of motion for Einstein's field in fractional dimension of 4 spatial coordinates are obtained. It is shown that time dependent part of Einstein's wave function is single valued for only 4-integer dimensional space.
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    Citation - WoS: 8
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    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.