IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v30y2022i10ns0218348x22402447.html
   My bibliography  Save this article

Results On Building Fractional Matrix Differential Equation Systems Using A Class Of Block Matrices

Author

Listed:
  • AMR ELRAWY

    (Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt)

  • MOHAMED ABDALLA

    (Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt†Department of Mathematics, Faculty of Science, King Khalid University, Abha, Kingdom of Saudi Arabia)

  • MARYAM ALSHEHRI

    (��Department of Mathematics, University of Tabuk, Tabuk 71491, Kingdom of Saudi Arabia)

  • SALAH BOULAARAS

    (�Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Kingdom of Saudi Arabia)

  • MOHAMED SALEEM

    (�Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

Abstract

In this paper, some important objectives have been achieved, which are as follows: First, we present a method of the inverse for a class of non-singular block matrices and some associated properties. Also, the accuracy of a new method is verified with some illustrated examples by applying the MATLAB lines. Second, applying a class of block matrices, we give the exact solution for fractional matrix differential equation systems using the Laplace fractional transformation method. Finally, illustrative examples and individual cases are also presented and discussed to demonstrate our new approach.

Suggested Citation

  • Amr Elrawy & Mohamed Abdalla & Maryam Alshehri & Salah Boulaaras & Mohamed Saleem, 2022. "Results On Building Fractional Matrix Differential Equation Systems Using A Class Of Block Matrices," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-9, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22402447
    DOI: 10.1142/S0218348X22402447
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X22402447
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X22402447?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:30:y:2022:i:10:n:s0218348x22402447. 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.