IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v33y2025i04ns0218348x25400985.html
   My bibliography  Save this article

Application Of Perov Fixed Point On Modified Abc Coupled Model Of Impulsive Equations In High-Fractional Order

Author

Listed:
  • MOHAMMED ALMALAHI

    (Department of Mathematics, Hajjah University, Hajjah, Yemen2Department of Artificial Intelligence, College of Computer and Information Technology, Al-Razi University, Sana ’a 72738, Yemen)

  • HICHAM SABER

    (Department of Mathematics, College of Science, University of Ha ’il, Ha’il 55473, Saudi Arabia)

  • ABDELKADER MOUMEN

    (Department of Mathematics, College of Science, University of Ha ’il, Ha’il 55473, Saudi Arabia)

  • EKRAM E. ALI

    (Department of Mathematics, College of Science, University of Ha ’il, Ha’il 55473, Saudi Arabia)

  • KHALED ALDWOAH

    (Department of Mathematics, Faculty of Science, Islamic University of Madinah, Saudi Arabia)

  • MOHAMMED HASSAN

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • AHMED HIMADAN AHMED

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia)

Abstract

This study investigates a coupled model of high-order fractional differential equations (FDEs) using a modified Atangana–Baleanu–Caputo (mABC) operator, incorporating impulsive effects and a novel class of initial value conditions. We establish existence and data dependence theorems for the modified ABC fractional coupled model through Perov’s fixed point theorem. Our approach enhances the modeling of engineering challenges across various fields, including mechanical, electrical, civil, and aerospace engineering. A numerical example is provided to demonstrate the robustness of our findings.

Suggested Citation

  • Mohammed Almalahi & Hicham Saber & Abdelkader Moumen & Ekram E. Ali & Khaled Aldwoah & Mohammed Hassan & Ahmed Himadan Ahmed, 2025. "Application Of Perov Fixed Point On Modified Abc Coupled Model Of Impulsive Equations In High-Fractional Order," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-21.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:04:n:s0218348x25400985
    DOI: 10.1142/S0218348X25400985
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X25400985
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X25400985?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:33:y:2025:i:04:n:s0218348x25400985. 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.