A novel high-order algorithm for the numerical estimation of fractional differential equations

DOI10.1016/j.cam.2017.12.047zbMath1466.65049OpenAlexW2783755922MaRDI QIDQ1639537

Mohammad Javidi, Yubin Yan, Mohammad Shahbazi Asl

Publication date: 13 June 2018

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

Full work available at URL: http://hdl.handle.net/10034/620809

zbMATH Keywords

error estimatesRiemann-Liouville fractional derivativeCaputo fractional derivativefractional differential equationHadamard finite-part integral

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Fractional ordinary differential equations (34A08)

Related Items (max. 100)

Numerical solution of fractional Riesz space telegraph equation ⋮ STABILITY AND ERROR OF THE NEW NUMERICAL SOLUTION OF FRACTIONAL RIESZ SPACE TELEGRAPH EQUATION WITH TIME DELAY ⋮ High order algorithms for numerical solution of fractional differential equations ⋮ Unnamed Item ⋮ High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation ⋮ Approximate solution for a fuzzy fractional multi-term differential equation by Müntz polynomials ⋮ Higher order time stepping methods for subdiffusion problems based on weighted and shifted Grünwald-Letnikov formulae with nonsmooth data ⋮ A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay ⋮ A robust scheme for reduction of higher fractional-order systems ⋮ Numerical solution of Caputo fractional differential equations with infinity memory effect at initial condition ⋮ A new numerical fractional differentiation formula to approximate the Caputo-Fabrizio fractional derivative: error analysis and stability ⋮ Higher order methods for fractional differential equation based on fractional backward differentiation formula of order three ⋮ NEW PREDICTOR-CORRECTOR APPROACH FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS: ERROR ANALYSIS AND STABILITY

Cites Work

• Unnamed Item
• Unnamed Item
• A new predictor-corrector method for fractional differential equations
• Higher order numerical methods for solving fractional differential equations
• Numerical solution of fractional differential equations using cubic B-spline wavelet collocation method
• A fractional-order model of HIV infection with drug therapy effect
• An algorithm for the numerical solution of two-sided space-fractional partial differential equations
• On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions
• Error estimates of a high order numerical method for solving linear fractional differential equations
• A stable numerical method for multidimensional time fractional Schrödinger equations
• Dissipativity and stability analysis for fractional functional differential equations
• An algorithm for the numerical solution of differential equations of fractional order
• Numerical solution of fractional order differential equations by extrapolation
• Analytical solutions of fractional differential equations using the convenient Adomian series
• Novel algorithms to estimate nonlinear FDEs: applied to fractional order nutrient-phytoplankton-zooplankton system
• On the existence and uniqueness of the solution of linear fractional differential-algebraic system
• Detailed error analysis for a fractional Adams method
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
• A numerical method for the fractional Schrödinger type equation of spatial dimension two
• An improved PC scheme for nonlinear fractional differential equations: error and stability analysis
• Short memory principle and a predictor-corrector approach for fractional differential equations
• Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
• Stability of a numerical method for a space-time-fractional telegraph equation
• Numerical Solutions of Fractional Differential Equations by Extrapolation
• Advances in Robust Fractional Control
• Generalized compound quadrature formulae for finite-part integrals
• Factorized difference scheme for two-dimensional subdiffusion equation in nonhomogeneous media
• The numerical solution of fractional differential equations: speed versus accuracy
• An efficient method for solving fractional Hodgkin-Huxley model

This page was built for publication: A novel high-order algorithm for the numerical estimation of fractional differential equations