FRACTIONAL TIME ACTION AND PERTURBED GRAVITY

Autor:	Sami I. Muslih, Dumitru Baleanu, Madhat Sadallah, Eqab M. Rabei
Rok vydání:	2011
Předmět:	Fractal Variational principle Applied Mathematics Modeling and Simulation Mathematical analysis Equations of motion Geometry and Topology Function (mathematics) Mandelbrot set Fractional quantum mechanics Action (physics) Fractional calculus Mathematics
Zdroj:	Fractals. 19:243-247
ISSN:	1793-6543 0218-348X
Popis:	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 < α ≤ 1. Two examples are investigated in detail.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::776cddb4fea6303766e01b862173325c https://doi.org/10.1142/s0218348x11005294 Zobrazit plný text záznamu