Fractional Killing-Yano tensors and killing vectors using the Caputo derivative in some one- and two-dimensional curved space

Ehab Malkawi; D. Baleanu

doi:10.1155/2014/290694

Fractional Killing-Yano tensors and killing vectors using the Caputo derivative in some one- and two-dimensional curved space

Ehab Malkawi, D. Baleanu

Department of Physics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Article number	290694
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/290694
Publication status	Published - 2014

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "Fractional Killing-Yano tensors and killing vectors using the Caputo derivative in some one- and two-dimensional curved space",

abstract = "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.",

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journal = "Abstract and Applied Analysis",

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AB - 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.

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VL - 2014

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Fractional Killing-Yano tensors and killing vectors using the Caputo derivative in some one- and two-dimensional curved space

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