IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v33y2025i06ns0218348x2540105x.html
   My bibliography  Save this article

A Coupled Nonlinear System Of Integro-Differential Equations Using Modified Abc Operator

Author

Listed:
  • HASIB KHAN

    (Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia†Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper 18000, Khyber Pakhtunkhwa, Pakistan)

  • JEHAD ALZABUT

    (Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia‡Department of Industrial Engineering, OSTİM Technical University, 06374, Ankara, Turkey§Center for Research and Innovation, Asia International University, Yangiobod MFY, G’ijduvon Street, House 74, Bukhara, Uzbekistan)

  • D. K. ALMUTAIRI

    (Department of Mathematics, College of Science Al-Zulfi, Majmaah University, 11952 Al-Majmaah, Saudi Arabia)

  • WAFA KHALAF ALQURASHI

    (Department of Mathematics, Faculty of Science, Umm Al-Qura University, Makkah, Saudi Arabia)

  • SANDRA PINELAS

    (Departamento de Ciencias Exatas e Engenharia, Academia Militar, 2720-113 Amadora, Portugal8Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal)

  • OSMAN TUNÇ

    (Department of Computer Programming, Baskale Vocational School, Van Yuzuncu Yil University, Campus, 65080 Van, Turkey)

  • MOHAMMAD ATHAR AZIM

    (0Preparatory Year Program, College of Humanities and Sciences (CHS), Prince Sultan University, 11586 Riyadh, Saudi Arabia)

Abstract

This paper explores the necessary conditions required for the solutions of an integro-differential system of n-fractional differential equations (n-FDEs) in the modified-ABC case of derivative with initial conditions. The presumed problem is a linearly perturbed system. Some classical fixed point theorems are utilized to derive the solution existence criteria. Additionally, a numerical methodology utilizing Lagrange’s interpolation polynomial is developed and implemented in a dynamical framework of a power system for practical applications. In addition, we investigate the properties of Hyers–Ulam’s stability and uniqueness. The findings are evaluated using graphical methods to assess the precision and suitability of the approaches

Suggested Citation

  • Hasib Khan & Jehad Alzabut & D. K. Almutairi & Wafa Khalaf Alqurashi & Sandra Pinelas & Osman Tun㇠& Mohammad Athar Azim, 2025. "A Coupled Nonlinear System Of Integro-Differential Equations Using Modified Abc Operator," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:06:n:s0218348x2540105x
    DOI: 10.1142/S0218348X2540105X
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X2540105X
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X2540105X?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;

    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:wsi:fracta:v:33:y:2025:i:06:n:s0218348x2540105x. 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.