Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 270646, 18 pages
doi:10.1155/2010/270646
Research Article

Chaos Control of a Fractional-Order Financial System

Mohammed Salah Abd-Elouahab,1 Nasr-Eddine Hamri,1 and Junwei Wang2

1Department of Science and Technology, University Center of Mila, Mila 43000, Algeria
2Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006, China

Received 4 November 2009; Revised 29 April 2010; Accepted 2 June 2010

Academic Editor: Carlo Cattani

Copyright © 2010 Mohammed Salah Abd-Elouahab et al. 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.

Abstract

Fractional-order financial system introduced by W.-C. Chen (2008) displays chaotic motions at order less than 3. In this paper we have extended the nonlinear feedback control in ODE systems to fractional-order systems, in order to eliminate the chaotic behavior. The results are proved analytically by applying the Lyapunov linearization method and stability condition for fractional system. Moreover numerical simulations are shown to verify the effectiveness of the proposed control scheme.