IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/5888010.html
   My bibliography  Save this article

A New Method for Solving Sequential Fractional Wave Equations

Author

Listed:
  • Sondos M. Syam
  • Z. Siri
  • R. Md. Kasmani
  • Kenan Yildirim
  • R. U. Gobithaasan

Abstract

In this article, we focus on two classes of fractional wave equations in the context of the sequential Caputo derivative. For the first class, we derive the closed-form solution in terms of generalized Mittag–Leffler functions. Subsequently, we consider a more general class of nonhomogeneous fractional wave equations. Due to the complexity of finding exact solutions for these problems, we employ a numerical technique based on the operational matrix method to approximate the solution. We provide several theoretical and numerical examples to validate the effectiveness of this numerical approach. The results demonstrate the accuracy and efficiency of the proposed method.

Suggested Citation

  • Sondos M. Syam & Z. Siri & R. Md. Kasmani & Kenan Yildirim & R. U. Gobithaasan, 2023. "A New Method for Solving Sequential Fractional Wave Equations," Journal of Mathematics, Hindawi, vol. 2023, pages 1-16, July.
    • Handle: RePEc:hin:jjmath:5888010
    DOI: 10.1155/2023/5888010
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2023/5888010.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2023/5888010.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/5888010?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
    ---><---

    More about this item

    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:hin:jjmath:5888010. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.