IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v30y2022i08ns0218348x22402605.html
   My bibliography  Save this article

A Numerical Study On The Dynamics Of Dengue Disease Model With Fractional Piecewise Derivative

Author

Listed:
  • JAVED KHAN

    (Department of Mathematics, University of Malakand, Dir (L), Khyber Pakhtunkhwa, Pakistan)

  • MATI UR RAHMAN

    (��School of Mathematical Science, Shanghai Jiao Tong University, Shanghai, P. R. China)

  • MUHAMMAD BILAL RIAZ

    (��Institute of Applied Mathematics, Faculty of Applied Physics and Mathematics, Gdansk University of Technology, 80-233 Gdańsk, Poland)

  • JAN AWREJCEWICZ

    (�Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15, Stefanowskiego St., 90-924, Lodz, Poland)

Abstract

The aim of this paper is to study the dynamics of Dengue disease model using a novel piecewise derivative approach in the sense of singular and non-singular kernels. The singular kernel operator is in the sense of Caputo, whereas the non-singular kernel operator is the Atangana–Baleanu Caputo operator. The existence and uniqueness of a solution with piecewise derivative are examined for the aforementioned problem. The suggested problem’s approximate solution was found using the piecewise numerical iterative Newton polynomial approach. In terms of singular and non-singular kernels, a numerical scheme for piecewise derivatives has been established. The numerical simulation for the piecewise derivable problem under consideration is drawn using data for various fractional orders. This work makes the idea of piecewise derivatives and the dynamics of the crossover problem clearer.

Suggested Citation

  • Javed Khan & Mati Ur Rahman & Muhammad Bilal Riaz & Jan Awrejcewicz, 2022. "A Numerical Study On The Dynamics Of Dengue Disease Model With Fractional Piecewise Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(08), pages 1-15, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22402605
    DOI: 10.1142/S0218348X22402605
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X22402605
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X22402605?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:fracta:v:30:y:2022:i:08:n:s0218348x22402605. 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: https://www.worldscientific.com/worldscinet/fractals .

    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.