Solving initial and boundary value problems of fractional ordinary differential equations by using collocation and fractional powers

DOI10.1016/j.cam.2018.07.034zbMath1432.65112OpenAlexW2884782836MaRDI QIDQ2423556

Higinio Ramos, Miguel Patrício, M. F. Simões Patrício

Publication date: 20 June 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.07.034

zbMATH Keywords

gamma functioncollocation methodfractional differential equationsinitial and boundary value problemsCaputo fractional derivative

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fractional ordinary differential equations (34A08)

Related Items (10)

Linear conformable differential system and its controllability ⋮ Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series ⋮ A collocation methods based on the quadratic quadrature technique for fractional differential equations ⋮ A Newton interpolation based predictor-corrector numerical method for fractional differential equations with an activator-inhibitor case study ⋮ A new Bell function approach to solve linear fractional differential equations ⋮ Analysis of a finite difference method based on L1 discretization for solving multi‐term fractional differential equation involving weak singularity ⋮ Special issue: Selected papers of CMMSE ⋮ Further developments of Bessel functions via conformable calculus with applications ⋮ A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease ⋮ An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique

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• NUMERICAL SOLUTION OF FRACTIONAL DELAY DIFFERENTIAL EQUATIONS USING SPLINE FUNCTIONS

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