A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel

Authors : Ali H BHRAWY, Mohamed A ABDELKAWY, Dumitru BALEANU, Ahmed Zm AMİN

Pages : 553-566

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Publication Date : 2018-06-01

Article Type : Research Paper

Abstract :This paper adapts a new numerical technique for solving two- dimensional fractional integral equations with weakly singular. Using the spectral collocation method, the fractional operators of Legendre and Chebyshev polynomials, and Gauss-quadrature formula, we achieve a reduction of given problems into those of a system of algebraic equa tions. We apply the reported numerical method to solve several nu merical examples in order to test the accuracy and validity. Thus, the novel algorithm is more responsible for solving two-dimensional frac tional integral equations with weakly singular.
Keywords : Two dimensional fractional integral equations with weakly singular, Spectral collocation method, Gauss quadrature, Shifted Legendre polynomials, Shifted Chebyshev polynomial

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