IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v31y2023i04ns0218348x23400431.html
   My bibliography  Save this article

A New Form Of L1-Predictor–Corrector Scheme To Solve Multiple Delay-Type Fractional Order Systems With The Example Of A Neural Network Model

Author

Listed:
  • PUSHPENDRA KUMAR

    (Department of Mathematics, National Institute of Technology Puducherry, Karaikal 609609, India)

  • VEDAT SUAT ERTURK

    (��Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, Atakum 55200, Samsun, Turkey)

  • MARINA MURILLO-ARCILA

    (��Instituto Universitario de Matematica Pura y Aplicada, Universitat Politècnica de València, 46022 Valencia, Spain)

  • V. GOVINDARAJ

    (Department of Mathematics, National Institute of Technology Puducherry, Karaikal 609609, India)

Abstract

In this paper, we derive a new version of L1-Predictor–Corrector (L1-PC) method by using some previously given methods (L1-PC for single delay, PC for non-delay, and decomposition algorithm) to solve multiple delay-type fractional differential equations. The Caputo fractional derivative with singular type kernel is used to establish the results. Some important remarks related to the delay term estimation and error analysis are mentioned. In order to check the accuracy and correctness of our method, we solve a neural network system with two delay parameters. A number of graphs are given to justify the role of delays as well as the accuracy of the algorithm. The given method is fully novel and reliable to solve multiple delay type fractional order systems in Caputo sense.

Suggested Citation

  • Pushpendra Kumar & Vedat Suat Erturk & Marina Murillo-Arcila & V. Govindaraj, 2023. "A New Form Of L1-Predictor–Corrector Scheme To Solve Multiple Delay-Type Fractional Order Systems With The Example Of A Neural Network Model," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-13.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:04:n:s0218348x23400431
    DOI: 10.1142/S0218348X23400431
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X23400431
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X23400431?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:31:y:2023:i:04:n:s0218348x23400431. 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.