Solving Systems of Linear Fractional Integro-Differential Equations with Delay using Least Squares Method and Chebyshev Polynomials

Authors

Kamal R. Raslan, Department of Mathematics, Faculty of Science, Al azhar University, Nasr-City, 11884, Cairo, EgyptFollow
Khalid K. Ali, Department of Mathematics, Faculty of Science, Al azhar University, Nasr-City, 11884, Cairo, EgyptFollow
Emad M. H. Mohamed, Department of Mathematics, Faculty of Science, Al azhar University, Nasr-City, 11884, Cairo, EgyptFollow
Mansour Lotayif, College of Administrative Sciences, Applied Science University, P.O. Box 5055, East Al-Ekir, Kingdom of BahrainFollow
Mohamed A. Abd El salam, Department of Mathematics, Faculty of Science, Al azhar University, Nasr-City, 11884, Cairo, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, a numerical scheme is introduced for solving a linear system of fractional delay integro-differential equations (FDIDEs). The fractional derivative is considered in the Caputo sense. The spectral least squares method with the aid of the first kind Chebyshev polynomials was introduced to treat the proposed systems. The suggested method reduces this type of system to the solution of a block system of linear algebraic equations. To demonstrate the accuracy and applicability of the presented method some test examples are provided. Numerical results show that this approach is easy to implement and accurate when applied to the proposed system of FDIDEs.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150510

Recommended Citation

R. Raslan, Kamal; K. Ali, Khalid; M. H. Mohamed, Emad; Lotayif, Mansour; and A. Abd El salam, Mohamed (2021) "Solving Systems of Linear Fractional Integro-Differential Equations with Delay using Least Squares Method and Chebyshev Polynomials," Applied Mathematics & Information Sciences: Vol. 15: Iss. 5, Article 10.
DOI: http://dx.doi.org/10.18576/amis/150510
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss5/10