Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space
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Date
2014
Authors
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Publisher
Hindawi Ltd
Open Access Color
GOLD
Green Open Access
No
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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.
Description
Malkawi, Ehab/0000-0002-6461-3741
ORCID
Keywords
Financial economics, Metric (unit), Economics, Space (punctuation), Mathematical analysis, QA1-939, FOS: Mathematics, Classical mechanics, Anomalous Diffusion Modeling and Analysis, Lagrangian, Motion (physics), Physics, Fractional calculus, Pure mathematics, Statistical and Nonlinear Physics, Astronomy and Astrophysics, Linguistics, Computer science, Finsler Geometry in Physics and Cosmology, FOS: Philosophy, ethics and religion, Programming language, Fractional Derivatives, Philosophy, Operations management, Physics and Astronomy, Modeling and Simulation, Derivative (finance), Mathematical physics, Physical Sciences, FOS: Languages and literature, Fractional Calculus, Mathematics, Rogue Waves in Nonlinear Systems, Constant (computer programming), fractional calculus, Caputo derivative, Fractional derivatives and integrals, free Lagrangian, Methods of local Riemannian geometry, Fractional partial differential equations, Lagrange's equations, constant of motion
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Baleanu, Dimitru; Malkawi, Ehab, "Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space", Abstract and Applied Analysis, (2014).
WoS Q
Scopus Q
Q3
OpenCitations Citation Count
2
Source
Abstract and Applied Analysis
Volume
2014
Issue
Start Page
1
End Page
4
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CrossRef : 1
Scopus : 3
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3
checked on Feb 26, 2026
Web of Science™ Citations
2
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6
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