Spectral Technique for Solving Variable-Order Fractional Volterra Integro-Differential Equations
| dc.contributor.author | Abdelkawy, M. A. | |
| dc.contributor.author | Amin, A. Z. M. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Doha, E. H. | |
| dc.date.accessioned | 2020-03-26T08:06:26Z | |
| dc.date.accessioned | 2025-09-18T14:09:09Z | |
| dc.date.available | 2020-03-26T08:06:26Z | |
| dc.date.available | 2025-09-18T14:09:09Z | |
| dc.date.issued | 2018 | |
| dc.description | Doha, Eid/0000-0002-7781-6871; Abdelkawy, Mohamed/0000-0002-9043-9644; Z .Amin, Ahmed/0000-0003-4044-3335 | en_US |
| dc.description.abstract | This article, presented a shifted Legendre Gauss-Lobatto collocation (SL-GL-C) method which is introduced for solving variable-order fractional Volterra integro-differential equation (VO-FVIDEs) subject to initial or nonlocal conditions. Based on shifted Legendre Gauss-Lobatto (SL-GL) quadrature, we treat with integral term in the aforementioned problems. Via the current approach, we convert such problem into a system of algebraic equations. After that we obtain the spectral solution directly for the proposed problem. The high accuracy of the method was proved by several illustrative examples. | en_US |
| dc.identifier.citation | Doha, E. H...et al. (2018). "Spectral technique for solving variable-order fractional Volterra integro-differential equations", Numerical Methods for Partial Differential Equations, Vol. 34, No. 5, pp. 1659-1677. | en_US |
| dc.identifier.doi | 10.1002/num.22233 | |
| dc.identifier.issn | 0749-159X | |
| dc.identifier.issn | 1098-2426 | |
| dc.identifier.scopus | 2-s2.0-85035203546 | |
| dc.identifier.uri | https://doi.org/10.1002/num.22233 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13295 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Numerical Methods for Partial Differential Equations | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Riemann-Liouvilie Fractional Of Variable Order | en_US |
| dc.subject | Integro-Differential Equation | en_US |
| dc.subject | Spectral Collocation Method | en_US |
| dc.subject | Shifted Legendre-Gauss-Lobatto Quadrature | en_US |
| dc.title | Spectral Technique for Solving Variable-Order Fractional Volterra Integro-Differential Equations | en_US |
| dc.title | Spectral technique for solving variable-order fractional Volterra integro-differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Doha, Eid/0000-0002-7781-6871 | |
| gdc.author.id | Abdelkawy, Mohamed/0000-0002-9043-9644 | |
| gdc.author.id | Z .Amin, Ahmed/0000-0003-4044-3335 | |
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| gdc.author.wosid | Abdelkawy, M/Aeb-7974-2022 | |
| gdc.author.wosid | Amin, Ahmed/Aak-6677-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Doha, Eid/L-1723-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Doha, E. H.] Cairo Univ, Dept Math, Fac Sci, Giza, Egypt; [Abdelkawy, M. A.] Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Dept Math & Stat, Coll Sci, Riyadh, Saudi Arabia; [Abdelkawy, M. A.] BeniSuef Univ, Dept Math, Fac Sci, Bani Suwayf, Egypt; [Amin, A. Z. M.] CIC, Dept Basic Sci, Inst Engn, Giza, Egypt; [Baleanu, D.] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 1677 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1659 | en_US |
| gdc.description.volume | 34 | en_US |
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| gdc.oaire.keywords | Integro-ordinary differential equations | |
| gdc.oaire.keywords | integro-differential equation | |
| gdc.oaire.keywords | Volterra integral equations | |
| gdc.oaire.keywords | shifted Legendre-Gauss-Lobatto quadrature | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Numerical quadrature and cubature formulas | |
| gdc.oaire.keywords | Riemann-Liouville fractional of variable order | |
| gdc.oaire.keywords | spectral collocation method | |
| gdc.oaire.keywords | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs | |
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