Fractional time action and perturbed gravity
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Date
2011
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World Scientific
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Abstract
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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Keywords
Fractional Calculus, Fractional Derivatives, Fractional Variational Principle
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Citation
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
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Fractals-Complex Geometry Patterns and Scaling In Nature and Society
Volume
19
Issue
2
Start Page
243
End Page
247