Abdelkawy, M. A.Amin, A. Z. M.Baleanu, D.Doha, E. H.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2020-03-262025-09-182020-03-262025-09-182018Doha, 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. 1659-1677.0749-159X1098-2426https://doi.org/10.1002/num.22233https://hdl.handle.net/20.500.12416/13295Doha, Eid/0000-0002-7781-6871; Abdelkawy, Mohamed/0000-0002-9043-9644; Z .Amin, Ahmed/0000-0003-4044-3335This 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.eninfo:eu-repo/semantics/closedAccessFractional CalculusRiemann-Liouvilie Fractional Of Variable OrderIntegro-Differential EquationSpectral Collocation MethodShifted Legendre-Gauss-Lobatto QuadratureArticle10.1002/num.222332-s2.0-85035203546