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Number of results

Journal

2011 | 9 | 5 | 1267-1279

Article title

Constant curvature coefficients and exact solutions in fractional gravity and geometric mechanics

Content

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Languages of publication

EN

Abstracts

EN
We present a study of fractional configurations in gravity theories and Lagrange mechanics. The approach is based on a Caputo fractional derivative which gives zero for actions on constants. We elaborate fractional geometric models of physical interactions and we formulate a method of nonholonomic deformations to other types of fractional derivatives. The main result of this paper consists of a proof that, for corresponding classes of nonholonomic distributions, a large class of physical theories are modelled as nonholonomic manifolds with constant matrix curvature. This allows us to encode the fractional dynamics of interactions and constraints into the geometry of curve flows and solitonic hierarchies.

Publisher

Journal

Year

Volume

9

Issue

5

Pages

1267-1279

Physical description

Dates

published
1 - 10 - 2011
online
15 - 9 - 2011

Contributors

  • Department of Mathematics and Computer Sciences, Çankaya University, 06530, Ankara, Turkey
author
  • Science Department, University “Al. I. Cuza” Iaşi, 54, Lascar Catargi street, Iaşi, Romania, 700107

References

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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-011-0040-5
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