A Spectral Technique for Solving Two-Dimensional Fractional Integral Equations With Weakly Singular Kernel
| dc.contributor.author | Abdelkawy, Mohamed A. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Amin, Ahmed Z. M. | |
| dc.contributor.author | Bhrawy, Ali H. | |
| dc.date.accessioned | 2020-03-28T21:30:19Z | |
| dc.date.accessioned | 2025-09-18T12:47:19Z | |
| dc.date.available | 2020-03-28T21:30:19Z | |
| dc.date.available | 2025-09-18T12:47:19Z | |
| dc.date.issued | 2018 | |
| dc.description | Abdelkawy, Mohamed/0000-0002-9043-9644 | en_US |
| dc.description.abstract | This 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.identifier.citation | Bhrawy, 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.doi | 10.15672/HJMS.2017.478 | |
| dc.identifier.issn | 2651-477X | |
| dc.identifier.issn | 1303-5010 | |
| dc.identifier.scopus | 2-s2.0-85048573597 | |
| dc.identifier.uri | https://doi.org/10.15672/HJMS.2017.478 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11765 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hacettepe Univ, Fac Sci | en_US |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Two-Dimensional Fractional Integral Equations With Weakly Singular | en_US |
| dc.subject | Spectral Collocation Method | en_US |
| dc.subject | Gauss Quadrature | en_US |
| dc.subject | Shifted Legendre Polynomials | en_US |
| dc.subject | Shifted Chebyshev Polynomial | en_US |
| dc.title | A Spectral Technique for Solving Two-Dimensional Fractional Integral Equations With Weakly Singular Kernel | en_US |
| dc.title | A Spectral Technique for Solving Two-Dimensional Fractional Integral Equations With Weakly Singular Kernel | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Abdelkawy, Mohamed/0000-0002-9043-9644 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Amin, Ahmed/Aak-6677-2020 | |
| gdc.author.wosid | Abdelkawy, M/Aeb-7974-2022 | |
| gdc.author.wosid | Bhrawy, Ali/D-4745-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Bhrawy, Ali H.; Abdelkawy, Mohamed A.] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt; [Abdelkawy, Mohamed A.] Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Amin, Ahmed Z. M.] CIC, Inst Engn, Dept Basic Sci, Giza, Egypt | en_US |
| gdc.description.endpage | 566 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 553 | en_US |
| gdc.description.volume | 47 | en_US |
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| gdc.oaire.keywords | Matematik | |
| gdc.oaire.keywords | Two-dimensional fractional integral equations with weakly singular;Spectral collocation method;Gauss quadrature;Shifted Legendre polynomials;Shifted Chebyshev polynomial | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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