Browsing by Author "Sadallah, Madhat"

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Citation Count: Sadallah, M., Muslih, S.I., Baleanu, D. (2006). Equations of motion for Einstein’s field in non-integer dimensional space. Czechoslovak Journal of Physics, 56(4), 323-328. http://dx.doi.org/10.1007/s10582-006-0093-7
Equations of motion for Einstein’s field in non-integer dimensional space
(Inst Physics Acad Sci Czech Republic, 2006) Sadallah, Madhat; Muslih, Sami I.; Baleanu, Dumitru
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
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
Citation Count: Muslih, S.I...et al. (2010). Lagrangian formulation of Maxwell's field in fractional D dimensional space-time. Romanian Journal of Physics, 55(7-8), 659-663.
Lagrangian formulation of Maxwell's field in fractional D dimensional space-time
(Editura Acad Romane, 2010) Muslih, Sami I.; Sadallah, Madhat; Baleanu, Dumitru; Rabei, Eqab M.
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