IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v31y2023i10ns0218348x23401667.html
   My bibliography  Save this article

The Fractional-Order System Of Singular And Non-Singular Thermo-Elasticity System In The Sense Of Homotopy Perturbation Transform Method

Author

Listed:
  • NAVEED IQBAL

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia)

Abstract

This paper investigates the mathematical result of the nonlinear fractional scheme of equations representing the singular and non-singular thermoelastic system. The suggested method is a graceful combination of Shehu transformation with homotopy perturbation method and fractional derivative described with the Caputo operator. To show and confirm the effectiveness of the future method, I examined three cases and evaluated in terms of fractional-order the projected model. Furthermore, the physical behavior of the fractional-order solution achieved has been shown in graphs, and the mathematical model is proved to confirm the accuracy. The solutions achieved clarify that the suggested methodology is simple to apply, highly organized, and accurate to study the attitude of nonlinear system differential equations of arbitrary order arising in the related fields of engineering and science.

Suggested Citation

  • Naveed Iqbal, 2023. "The Fractional-Order System Of Singular And Non-Singular Thermo-Elasticity System In The Sense Of Homotopy Perturbation Transform Method," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-18.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:10:n:s0218348x23401667
    DOI: 10.1142/S0218348X23401667
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X23401667
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X23401667?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 search for a different version of it.

    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:31:y:2023:i:10:n:s0218348x23401667. 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.