Bhrawy, Ali H.Abdelkawy, M. A.Baleanu, DumitruAmin, A. Z. M.2020-03-282020-03-282018Bhrawy, Ali H...et al. (2018). "A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel", Hacettepe Journal of Mathematics and Statistics, Vol. 47, No. 3, pp, 553-566.1303-5010http://hdl.handle.net/20.500.12416/2780This paper adapts a new numerical technique for solving twodimensional 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 equations. We apply the reported numerical method to solve several numerical examples in order to test the accuracy and validity. Thus, the novel algorithm is more responsible for solving two-dimensional fractional integral equations with weakly singular.eninfo:eu-repo/semantics/closedAccessTwo-Dimensional Fractional Integral Equations With Weakly SingularSpectral Collocation MethodGauss QuadratureShifted Legendre PolynomialsShifted Chebyshev PolynomialA Spectral Technique for Solving Two-Dimensional Fractional Integral Equations With Weakly Singular KernelA Spectral Technique for Solving Two-Dimensional Fractional Integral Equations With Weakly Singular KernelArticle47355356610.15672/HJMS.2017.478