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Fractional time action and perturbed gravity

dc.contributor.authorSadallah, Madhat
dc.contributor.authorMuslih, Sami I.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorRabei, Eqab
dc.date.accessioned2016-08-10T08:33:47Z
dc.date.available2016-08-10T08:33:47Z
dc.date.issued2011
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümüen_US
dc.description.abstractIn 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 detailen_US
dc.description.publishedMonth6
dc.identifier.citationSadallah, 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/S0218348X11005294en_US
dc.identifier.doi10.1142/S0218348X11005294
dc.identifier.endpage247en_US
dc.identifier.issn0218-348X
dc.identifier.issue2en_US
dc.identifier.startpage243en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/1203
dc.identifier.volume19en_US
dc.language.isoenen_US
dc.publisherWorld Scientificen_US
dc.relation.ispartofFractals-Complex Geometry Patterns and Scaling In Nature and Societyen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Calculusen_US
dc.subjectFractional Derivativesen_US
dc.subjectFractional Variational Principleen_US
dc.titleFractional time action and perturbed gravitytr_TR
dc.titleFractional Time Action and Perturbed Gravityen_US
dc.typeArticleen_US
dspace.entity.typePublication

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