RESULTS ON BUILDING FRACTIONAL MATRIX DIFFERENTIAL EQUATION SYSTEMS USING A CLASS OF BLOCK MATRICES

Amr Elrawy, Mohamed Abdalla, Maryam Alshehri, Salah Boulaaras and Mohamed Saleem
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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

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-9

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.

Keywords: Block Matrices; Inverse of Block Matrices; Fractional Matrix Differential Equations; Laplace Transform (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402447

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