Baleanu, DumitruDoha, E. H.Abdelkawy, M. A.Amin, A. Z. M.Baleanu, Dumitru2020-03-262020-03-262018Doha, 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. 1659-1677.0749-159Xhttps://hdl.handle.net/20.500.12416/2739This 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 QuadratureArticle3451659167710.1002/num.22233