IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i18p3840-d1235038.html
   My bibliography  Save this article

The Fuzzy Differential Transform Method for the Solution of the System of Fuzzy Integro-Differential Equations Arising in Biological Model

Author

Listed:
  • Mitali Routaray

    (Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar 751024, India)

  • Prakash Kumar Sahu

    (Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar 751024, India)

  • Dimplekumar Navinchandra Chalishajar

    (Department of Applied Mathematics, Mallory Hall, Virginia Military Institute (VMI), Lexington, VA 24450, USA)

Abstract

This article deals with the implementation of fuzzy differential transform method for solving a system of nonlinear fuzzy integro-differential equations. This system appears in a model of biological species living together. Though the differential transform method is an iterative method, the current approach reduces this model to a set of nonlinear algebraic equations due to its delay terms. The basic definitions and theorems are first presented. The applicability and accuracy of the current methodologies have been demonstrated through the discussion of a few exemplary situations.

Suggested Citation

  • Mitali Routaray & Prakash Kumar Sahu & Dimplekumar Navinchandra Chalishajar, 2023. "The Fuzzy Differential Transform Method for the Solution of the System of Fuzzy Integro-Differential Equations Arising in Biological Model," Mathematics, MDPI, vol. 11(18), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3840-:d:1235038
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/18/3840/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/18/3840/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. He, Ji-Huan & Liu, Yong & Xu, Lan & Yu, Jian-Yong, 2007. "Micro sphere with nanoporosity by electrospinning," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1096-1100.
    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. He, Ji-Huan, 2009. "Nonlinear science as a fluctuating research frontier," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2533-2537.
    2. He, Ji-Huan & Liu, Yong & Xu, Lan & Yu, Jian-Yong & Sun, Gang, 2008. "BioMimic fabrication of electrospun nanofibers with high-throughput," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 643-651.
    3. He, Ji-Huan, 2008. "Fatalness of virus depends upon its cell fractal geometry," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1390-1393.

    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:11:y:2023:i:18:p:3840-:d:1235038. 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: 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.