Stability and Stabilizing of Fractional Complex Lorenz Systems

We study the stability and stabilization of complex fractional Lorenz system. The fractional calculus are taken in sense of the Caputo derivatives. The technique is based on stability theory of fractional-order systems. Numerical solutions are imposed.

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Bibliographic Details
Main Author: Rabha W. Ibrahim
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/127103
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author Rabha W. Ibrahim
author_facet Rabha W. Ibrahim
author_sort Rabha W. Ibrahim
collection DOAJ
description We study the stability and stabilization of complex fractional Lorenz system. The fractional calculus are taken in sense of the Caputo derivatives. The technique is based on stability theory of fractional-order systems. Numerical solutions are imposed.
format Article
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institution Kabale University
issn 1085-3375
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language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-c34f43fff20248d6818f8086dede8de52025-02-03T01:12:41ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/127103127103Stability and Stabilizing of Fractional Complex Lorenz SystemsRabha W. Ibrahim0Institute of Mathematical Sciences, University Malaya, 50603 Kuala Lumpur, MalaysiaWe study the stability and stabilization of complex fractional Lorenz system. The fractional calculus are taken in sense of the Caputo derivatives. The technique is based on stability theory of fractional-order systems. Numerical solutions are imposed.http://dx.doi.org/10.1155/2013/127103
spellingShingle Rabha W. Ibrahim
Stability and Stabilizing of Fractional Complex Lorenz Systems
Abstract and Applied Analysis
title Stability and Stabilizing of Fractional Complex Lorenz Systems
title_full Stability and Stabilizing of Fractional Complex Lorenz Systems
title_fullStr Stability and Stabilizing of Fractional Complex Lorenz Systems
title_full_unstemmed Stability and Stabilizing of Fractional Complex Lorenz Systems
title_short Stability and Stabilizing of Fractional Complex Lorenz Systems
title_sort stability and stabilizing of fractional complex lorenz systems
url http://dx.doi.org/10.1155/2013/127103
work_keys_str_mv AT rabhawibrahim stabilityandstabilizingoffractionalcomplexlorenzsystems