IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i5p692-d353189.html
   My bibliography  Save this article

Double Fuzzy Sumudu Transform to Solve Partial Volterra Fuzzy Integro-Differential Equations

Author

Listed:
  • Atanaska Georgieva

    (Department of Mathematical Analysis, University of Plovdiv Paisii Hilendarski, 24 Tzar Asen, 4003 Plovdiv, Bulgaria)

Abstract

In this paper, the double fuzzy Sumudu transform (DFST) method was used to find the solution to partial Volterra fuzzy integro-differential equations (PVFIDE) with convolution kernel under Hukuhara differentiability. Fundamental results of the double fuzzy Sumudu transform for double fuzzy convolution and fuzzy partial derivatives of the n -th order are provided. By using these results the solution of PVFIDE is constructed. It is shown that DFST method is a simple and reliable approach for solving such equations analytically. Finally, the method is demonstrated with examples to show the capability of the proposed method.

Suggested Citation

  • Atanaska Georgieva, 2020. "Double Fuzzy Sumudu Transform to Solve Partial Volterra Fuzzy Integro-Differential Equations," Mathematics, MDPI, vol. 8(5), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:692-:d:353189
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/5/692/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/5/692/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nurain Zulaikha Husin & Muhammad Zaini Ahmad & Mohd Kamalrulzaman Md Akhir, 2022. "Incorporating Fuzziness in the Traditional Runge–Kutta Cash–Karp Method and Its Applications to Solve Autonomous and Non-Autonomous Fuzzy Differential Equations," Mathematics, MDPI, vol. 10(24), pages 1-25, December.

    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:8:y:2020:i:5:p:692-:d:353189. 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.