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A Spectral Technique for Solving Two-Dimensional Fractional Integral Equations With Weakly Singular Kernel

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dc.contributor.authorBhrawy, Ali H.
dc.contributor.authorAbdelkawy, M. A.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAmin, A. Z. M.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-03-28T21:30:19Z
dc.date.available2020-03-28T21:30:19Z
dc.date.issued2018
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis 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.en_US
dc.description.publishedMonth6
dc.identifier.citationBhrawy, 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.en_US
dc.identifier.doi10.15672/HJMS.2017.478
dc.identifier.endpage566en_US
dc.identifier.issn1303-5010
dc.identifier.issue3en_US
dc.identifier.startpage553en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2780
dc.identifier.volume47en_US
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal of Mathematics and Statisticsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTwo-Dimensional Fractional Integral Equations With Weakly Singularen_US
dc.subjectSpectral Collocation Methoden_US
dc.subjectGauss Quadratureen_US
dc.subjectShifted Legendre Polynomialsen_US
dc.subjectShifted Chebyshev Polynomialen_US
dc.titleA Spectral Technique for Solving Two-Dimensional Fractional Integral Equations With Weakly Singular Kerneltr_TR
dc.titleA Spectral Technique for Solving Two-Dimensional Fractional Integral Equations With Weakly Singular Kernelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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