IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v35y2024i03ns0129183124500360.html
   My bibliography  Save this article

Efficient numerical simulation of fractional-order Van der Pol impulsive system

Author

Listed:
  • Z. Sharifi

    (Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran)

  • B. P. Moghaddam

    (Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran)

  • M. Ilie

    (��Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran)

Abstract

This paper presents an innovative and efficient method for solving the fractional-order Van der Pol impulsive system. In particular, the proposed scheme utilizes finite difference techniques for approximating fractional integrals, and its efficacy is compared to existing integration methods presented in the literature. Moreover, the proposed approach is applied to fractional impulsive systems, specifically the Fractional Van der Pol system with impulse behavior. The results demonstrate the effectiveness of the impulsive treatment effects for the system under consideration. In general, this study offers an insightful contribution to the field of fractional calculus, while providing a practical and efficient solution for solving impulsive systems.

Suggested Citation

  • Z. Sharifi & B. P. Moghaddam & M. Ilie, 2024. "Efficient numerical simulation of fractional-order Van der Pol impulsive system," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 35(03), pages 1-15, March.
    • Handle: RePEc:wsi:ijmpcx:v:35:y:2024:i:03:n:s0129183124500360
    DOI: 10.1142/S0129183124500360
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183124500360
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183124500360?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:wsi:ijmpcx:v:35:y:2024:i:03:n:s0129183124500360. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.