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Spectral Technique for Solving Variable-Order Fractional Volterra Integro-Differential Equations

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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 2018-09
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. tr_TR
dc.identifier.issn 0749-159X
dc.identifier.uri http://hdl.handle.net/20.500.12416/2738
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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Wiley tr_TR
dc.relation.isversionof 10.1002/num.22233 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Riemann-Liouvilie Fractional of Variable Order tr_TR
dc.subject Integro-Differential Equation tr_TR
dc.subject pectral Collocation Method tr_TR
dc.subject Shifted Legendre-Gauss-Lobatto Quadrature tr_TR
dc.title Spectral Technique for Solving Variable-Order Fractional Volterra Integro-Differential Equations tr_TR
dc.type article tr_TR
dc.relation.journal Numerical Methods for Partial Differential Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 34 tr_TR
dc.identifier.issue 5 tr_TR
dc.identifier.startpage 1659 tr_TR
dc.identifier.endpage 1677 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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