IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v33y2025i08ns0218348x25401644.html
   My bibliography  Save this article

A Note On The Incompatibility Of Autonomous Fractional Differential Systems And Fractional Derivatives With Non-Singular Kernels

Author

Listed:
  • REDOUANE DOUAIFIA

    (Process Engineering Department, Faculty of Technology, University of Blida 1, Blida 09000, Algeria2Laboratory Water Environment and Sustainable Development, Faculty of Technology, University of Blida 1, Blida 09000, Algeria)

  • MATHKAR ALHARTHI

    (Department of Chemical Engineering, College of Engineering at Yanbu, Taibah University, Yanbu 46477, Saudi Arabia)

  • SAMIR BENDOUKHA

    (Department of Electrical Engineering, College of Engineering at Yanbu, Taibah University, Yanbu 46477, Saudi Arabia)

  • SALEM ABDELMALEK

    (Department of Mathematics, Echahid Cheikh Larbi Tebessi University, Tebessa 12022, Algeria6Laboratory of Mathematics, Informatics and Systems (LAMIS), Echahid Cheikh Larbi Tebessi University, Tebessa 12022, Algeria)

  • EMAD ALI

    (Chemical Engineering Department, King Saud University, P. O. Box 800, Riyadh 11421, Saudi Arabia)

  • NABIL BARHOUMI

    (Department of Electrical Engineering, College of Engineering at Yanbu, Taibah University, Yanbu 46477, Saudi Arabia8University of Monastir, École Nationale d’ingénieurs de Monastir, LAS2E, Monastir 5019, Tunisia)

Abstract

This paper addresses a critical oversight in the modeling of autonomous fractional differential systems using fractional derivatives with non-singular kernels such as the Caputo–Fabrizio (CF) and Atangana–Baleanu–Caputo (ABC) derivatives. We demonstrate that for such systems to be well defined, the initial condition must be an equilibrium point, which significantly limits the practical applicability of these models, a fact often overlooked in existing studies, leading to incorrect conclusions.

Suggested Citation

  • Redouane Douaifia & Mathkar Alharthi & Samir Bendoukha & Salem Abdelmalek & Emad Ali & Nabil Barhoumi, 2025. "A Note On The Incompatibility Of Autonomous Fractional Differential Systems And Fractional Derivatives With Non-Singular Kernels," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(08), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:08:n:s0218348x25401644
    DOI: 10.1142/S0218348X25401644
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X25401644
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X25401644?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:08:n:s0218348x25401644. 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.