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Entropy 2015, 17(8), 5771-5783; doi:10.3390/e17085771

Active Control of a Chaotic Fractional Order Economic System

1
Department of Computer Engineering, Faculty of Engineering, University of Tunceli, 62100 Tunceli, Turkey
2
MI Group, Department of Mathematics, Faculty of Sciences and Techniques of Errachidia, Moulay Ismail University, 52000 Meknes, Morocco
3
Department of Mathematics, Faculty of Science, Firat University, 23100 Elazig, Turkey
*
Author to whom correspondence should be addressed.
Academic Editor: Carlo Cattani
Received: 3 June 2015 / Revised: 30 July 2015 / Accepted: 3 August 2015 / Published: 11 August 2015
(This article belongs to the Special Issue Wavelets, Fractals and Information Theory)
View Full-Text   |   Download PDF [359 KB, uploaded 18 August 2015]   |  

Abstract

In this paper, a fractional order economic system is studied. An active control technique is applied to control chaos in this system. The stabilization of equilibria is obtained by both theoretical analysis and the simulation result. The numerical simulations, via the improved Adams–Bashforth algorithm, show the effectiveness of the proposed controller. View Full-Text
Keywords: fractional-order differential equations (FDEs); chaos; economic system; active control fractional-order differential equations (FDEs); chaos; economic system; active control
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Baskonus, H.M.; Mekkaoui, T.; Hammouch, Z.; Bulut, H. Active Control of a Chaotic Fractional Order Economic System. Entropy 2015, 17, 5771-5783.

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