Spectral Technique for Solving Variable-Order Fractional Volterra Integro-Differential Equations
| dc.contributor.author | Doha, E. H. | |
| dc.contributor.author | Abdelkawy, M. A. | |
| dc.contributor.author | Amin, A. Z. M. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-03-26T08:00:14Z | |
| dc.date.available | 2020-03-26T08:00:14Z | |
| dc.date.issued | 2018 | |
| 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. (2018). "Spectral technique for solving variable-order fractional Volterra integro-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.uri | https://hdl.handle.net/20.500.12416/2738 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Numerical Methods for Partial Differential Equations | en_US |
| 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 | pectral 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 | tr_TR |
| dc.title | Spectral Technique for Solving Variable-Order Fractional Volterra Integro-Differential Equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
| gdc.description.endpage | 1677 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 1659 | en_US |
| gdc.description.volume | 34 | en_US |
| gdc.description.wosquality | Q2 | |
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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 | |
| gdc.oaire.popularity | 3.3712304E-8 | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.opencitations.count | 58 | |
| gdc.plumx.crossrefcites | 48 | |
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| gdc.publishedmonth | 9 | |
| gdc.virtual.author | Baleanu, Dumitru | |
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