Fractional time action and perturbed gravity

Sadallah, Madhat; Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab

dc.contributor.author	Sadallah, Madhat
dc.contributor.author	Muslih, Sami I.
dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Rabei, Eqab
dc.date.accessioned	2016-08-10T08:33:47Z
dc.date.available	2016-08-10T08:33:47Z
dc.date.issued	2011-06
dc.identifier.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	tr_TR
dc.identifier.issn	0218-348X
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1203
dc.description.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	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	World Scientific	tr_TR
dc.relation.isversionof	10.1142/S0218348X11005294	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Fractional Calculus	tr_TR
dc.subject	Fractional Derivatives	tr_TR
dc.subject	Fractional Variational Principle	tr_TR
dc.title	Fractional time action and perturbed gravity	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Fractals-Complex Geometry Patterns and Scaling In Nature and Society	tr_TR
dc.identifier.volume	19	tr_TR
dc.identifier.issue	2	tr_TR
dc.identifier.startpage	243	tr_TR
dc.identifier.endpage	247	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR