IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v245y2026icp79-94.html

A generalized Caputo fractional jerk equation with Caputo antiperiodic boundary conditions: Existence of solutions, stability and numerical simulations

Author

Listed:
  • Ali, Zeeshan
  • Pinelas, Sandra

Abstract

This paper investigates the existence of solutions, stability, and numerical simulations for a generalized fractional jerk equation with fractional antiperiodic boundary conditions, both involving Caputo derivatives. The model features non-integer order derivatives in the equation and boundary conditions, resulting in a more general formulation. Fixed-point theory is employed to establish sufficient conditions for the existence and uniqueness, leading to novel results. Furthermore, Ulam-Hyers stability and its generalized form are analyzed to ensure robustness of the solutions. Examples are presented to demonstrate the applicability of the theoretical findings, with the system’s behavior and stability analyzed for various fractional orders α and β using MATLAB. A special case of the proposed system is also discussed in the conclusion.

Suggested Citation

  • Ali, Zeeshan & Pinelas, Sandra, 2026. "A generalized Caputo fractional jerk equation with Caputo antiperiodic boundary conditions: Existence of solutions, stability and numerical simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 245(C), pages 79-94.
    • Handle: RePEc:eee:matcom:v:245:y:2026:i:c:p:79-94
    DOI: 10.1016/j.matcom.2026.01.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475426000042
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2026.01.005?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:eee:matcom:v:245:y:2026:i:c:p:79-94. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.