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Solving Systems of Linear Fractional Integro-Differential Equations with Delay using Least Squares Method and Chebyshev Polynomials |
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PP: 621-629 |
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doi:10.18576/amis/150510
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Author(s) |
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Kamal R. Raslan,
Khalid K. Ali,
Emad M. H. Mohamed,
Mansour Lotayif,
Mohamed A. Abd El salam,
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Abstract |
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| 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.
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