IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i13p3016-d1188685.html
   My bibliography  Save this article

Novel Contributions to the System of Fractional Hamiltonian Equations

Author

Listed:
  • Tayeb Mahrouz

    (Department of Mathematics, Faculty of Sciences, University of Ibn Khladoun, BP P 78 Zaaroura, Tiaret 14000, Algeria
    These authors contributed equally to this work.)

  • Abdelaziz Mennouni

    (Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boulaïd, Fesdis, Batna 05078, Algeria
    These authors contributed equally to this work.)

  • Abdelkader Moumen

    (Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 55425, Saudi Arabia
    These authors contributed equally to this work.)

  • Tariq Alraqad

    (Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 55425, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

This work aims to analyze a new system of two fractional Hamiltonian equations. We propose an effective method for transforming the established model into a system of two distinct equations. Two functionals that are connected to the converted system of fractional Hamiltonian systems are introduced together with a new space, and it is demonstrated that these functionals are bounded below on this space. The hypotheses presented here differ from those provided in the literature.

Suggested Citation

  • Tayeb Mahrouz & Abdelaziz Mennouni & Abdelkader Moumen & Tariq Alraqad, 2023. "Novel Contributions to the System of Fractional Hamiltonian Equations," Mathematics, MDPI, vol. 11(13), pages 1-10, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:3016-:d:1188685
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/13/3016/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/13/3016/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:11:y:2023:i:13:p:3016-:d:1188685. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.