IDEAS home Printed from https://ideas.repec.org/a/wly/jnlmpe/v2023y2023i1n9971083.html

Solving Partial Differential Equations of Fractional Order by Using a Novel Double Integral Transform

Author

Listed:
  • Shams A. Ahmed
  • Tarig M. Elzaki
  • Anis Mohamed

Abstract

In this work, the double Sumudu–Elzaki transform was used for solving fractional‐partial differential equations (FPDEs) with starting and boundary conditions. We will use the fractional‐order derivative (Caputo’s derivatives) idea. Theorems and facts that are crucial to the newly introduced transform are also discussed and illustrated. By using this newly designed integral transform and its properties, FPDEs can be reduced into algebraic equations. This strategy has the precise answer since it does not need any discrimination, transformation, or limited assumptions. Five further instances were given to support our conclusions. The results showed that the recommended strategy is superb, reliable, and efficient. It is also a simple method for solving specific problems in a number of applied scientific and technical fields.

Suggested Citation

  • Shams A. Ahmed & Tarig M. Elzaki & Anis Mohamed, 2023. "Solving Partial Differential Equations of Fractional Order by Using a Novel Double Integral Transform," Mathematical Problems in Engineering, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnlmpe:v:2023:y:2023:i:1:n:9971083
    DOI: 10.1155/2023/9971083
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2023/9971083
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/9971083?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
    ---><---

    References listed on IDEAS

    as
    1. Hassan Eltayeb & Adem Kiliçman, 2013. "A Note on Double Laplace Transform and Telegraphic Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Hassan Eltayeb & Adem Kiliçman, 2013. "A Note on Double Laplace Transform and Telegraphic Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alemayehu Tamirie Deresse & Yesuf Obsie Mussa & Ademe Kebede Gizaw, 2021. "Solutions of Two‐Dimensional Nonlinear Sine‐Gordon Equation via Triple Laplace Transform Coupled with Iterative Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2021(1).
    2. Abdon Atangana, 2013. "A Note on the Triple Laplace Transform and Its Applications to Some Kind of Third‐Order Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Hassan Eltayeb, 2025. "Application of Natural Generalized-Laplace Transform and Its Properties," Mathematics, MDPI, vol. 13(19), pages 1-21, October.
    4. Rania Saadeh & Ahmad Qazza & Aliaa Burqan, 2022. "On the Double ARA-Sumudu Transform and Its Applications," Mathematics, MDPI, vol. 10(15), pages 1-19, July.

    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:wly:jnlmpe:v:2023:y:2023:i:1:n:9971083. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/2629 .

    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.