Fractional time action and perturbed gravity
| 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 | |
| dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü | en_US |
| 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 | en_US |
| dc.description.publishedMonth | 6 | |
| 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 | en_US |
| dc.identifier.doi | 10.1142/S0218348X11005294 | |
| dc.identifier.endpage | 247 | en_US |
| dc.identifier.issn | 0218-348X | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 243 | en_US |
| dc.identifier.uri | http://hdl.handle.net/20.500.12416/1203 | |
| dc.identifier.volume | 19 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific | en_US |
| dc.relation.ispartof | Fractals-Complex Geometry Patterns and Scaling In Nature and Society | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Fractional Derivatives | en_US |
| dc.subject | Fractional Variational Principle | en_US |
| dc.title | Fractional time action and perturbed gravity | tr_TR |
| dc.title | Fractional Time Action and Perturbed Gravity | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |
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