IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/270646.html
   My bibliography  Save this article

Chaos Control of a Fractional-Order Financial System

Author

Listed:
  • Mohammed Salah Abd-Elouahab
  • Nasr-Eddine Hamri
  • Junwei Wang

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.

Suggested Citation

  • Mohammed Salah Abd-Elouahab & Nasr-Eddine Hamri & Junwei Wang, 2010. "Chaos Control of a Fractional-Order Financial System," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-18, July.
    • Handle: RePEc:hin:jnlmpe:270646
    DOI: 10.1155/2010/270646
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2010/270646.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2010/270646.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2010/270646?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lin, Xiaoran & Wang, Yachao & Wang, Jifang & Zeng, Wenxian, 2022. "Dynamic analysis and adaptive modified projective synchronization for systems with Atangana-Baleanu-Caputo derivative: A financial model with nonconstant demand elasticity," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.
    3. Xinggui Li & Ruofeng Rao & Xinsong Yang, 2022. "Impulsive Stabilization on Hyper-Chaotic Financial System under Neumann Boundary," Mathematics, MDPI, vol. 10(11), pages 1-18, May.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlmpe:270646. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.