Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space

Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space

The classical free Lagrangian admitting a constant of motion, in one- and two-dimensional space, is generalized using the Caputo derivative of fractional calculus. The corresponding metric is obtained and the fractional Christoffel symbols, Killing vectors, and Killing-Yano tensors are derived. Some...

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Bibliographic Details
Main Authors: Ehab Malkawi, D. Baleanu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/290694
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spelling doaj-2f327e6308844f758bd242f92d79b3ff2020-11-25T00:50:04ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/290694290694Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved SpaceEhab Malkawi0D. Baleanu1Department of Physics, United Arab Emirates University, 15551 Al Ain, UAEDepartment of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaThe classical free Lagrangian admitting a constant of motion, in one- and two-dimensional space, is generalized using the Caputo derivative of fractional calculus. The corresponding metric is obtained and the fractional Christoffel symbols, Killing vectors, and Killing-Yano tensors are derived. Some exact solutions of these quantities are reported.http://dx.doi.org/10.1155/2014/290694
collection DOAJ
language English
format Article
sources DOAJ
author Ehab Malkawi
D. Baleanu
spellingShingle Ehab Malkawi
D. Baleanu
Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space
Abstract and Applied Analysis
author_facet Ehab Malkawi
D. Baleanu
author_sort Ehab Malkawi
title Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space
title_short Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space
title_full Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space
title_fullStr Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space
title_full_unstemmed Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space
title_sort fractional killing-yano tensors and killing vectors using the caputo derivative in some one- and two-dimensional curved space
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description The classical free Lagrangian admitting a constant of motion, in one- and two-dimensional space, is generalized using the Caputo derivative of fractional calculus. The corresponding metric is obtained and the fractional Christoffel symbols, Killing vectors, and Killing-Yano tensors are derived. Some exact solutions of these quantities are reported.
url http://dx.doi.org/10.1155/2014/290694
work_keys_str_mv AT ehabmalkawi fractionalkillingyanotensorsandkillingvectorsusingthecaputoderivativeinsomeoneandtwodimensionalcurvedspace
AT dbaleanu fractionalkillingyanotensorsandkillingvectorsusingthecaputoderivativeinsomeoneandtwodimensionalcurvedspace
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