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 |
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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 |
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dc.language.iso |
eng |
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dc.publisher |
World Scientific |
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dc.relation.isversionof |
10.1142/S0218348X11005294 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
|
dc.subject |
Fractional Calculus |
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dc.subject |
Fractional Derivatives |
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dc.subject |
Fractional Variational Principle |
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dc.title |
Fractional time action and perturbed gravity |
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dc.type |
article |
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dc.relation.journal |
Fractals-Complex Geometry Patterns and Scaling In Nature and Society |
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dc.identifier.volume |
19 |
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dc.identifier.issue |
2 |
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dc.identifier.startpage |
243 |
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dc.identifier.endpage |
247 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü |
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