IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/3864053.html
   My bibliography  Save this article

Series Type Solution of Fuzzy Fractional Order Swift–Hohenberg Equation by Fuzzy Hybrid Sumudu Transform

Author

Listed:
  • Abd Ullah
  • Aman Ullah
  • Shabir Ahmad
  • Mahmood Ul Haq
  • Kamal Shah
  • Nabil Mlaiki
  • Kang-Jia Wang

Abstract

There are some confusion and complexity in our everyday lives, as we live in an uncertain environment. In such type of environment, an accurate calculation of the data and finding a solution to a problem is not an easy job. So, fuzzy differential equations are the better tools to model problems in the fuzzy domain. Modeling the real-world phenomenon more accurately requires such operators. Therefore, we investigate the fractional-order Swift–Hohenberg equation in the fuzzy concept. We study this equation under the fuzzy Caputo fractional derivative. We use the fuzzy Sumudu transform to find out the semianalytical solution of the considered equation. To deal with the nonlinear term of the problem, we also use the Adomian decomposition method. To confirm the accuracy of the proposed procedure, we give two test problems. Lastly, we plot the numerical results for various fractional orders, and uncertainty belongs to [0, 1].

Suggested Citation

  • Abd Ullah & Aman Ullah & Shabir Ahmad & Mahmood Ul Haq & Kamal Shah & Nabil Mlaiki & Kang-Jia Wang, 2022. "Series Type Solution of Fuzzy Fractional Order Swift–Hohenberg Equation by Fuzzy Hybrid Sumudu Transform," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-15, May.
    • Handle: RePEc:hin:jnlmpe:3864053
    DOI: 10.1155/2022/3864053
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/mpe/2022/3864053.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/mpe/2022/3864053.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/3864053?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:jnlmpe:3864053. 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.