A new algorithm for nonlinear fractional BVPs

DOI10.1016/J.AML.2016.01.011zbMath1334.65120OpenAlexW2259474897MaRDI QIDQ253936

Min-Qiang Xu, Yun-Tao Jia, Ying-Zhen Lin

Publication date: 8 March 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.01.011

zbMATH Keywords

numerical exampleboundary value problemsnonlinear fractional equationsquasi-Newton's methodreproducing kernel method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fractional ordinary differential equations (34A08)

Related Items (8)

A numerical solution for variable order fractional functional differential equation ⋮ A Green's function iterative approach for the solution of a class of fractional BVPs arising in physical models ⋮ Challenge on solutions of fractional Van Der Pol oscillator by using the differential transform method ⋮ An efficient numerical method for variable order fractional functional differential equation ⋮ An efficient numerical algorithm for solving nonlinear fractional Volterra integro-differential equation ⋮ An efficient reproducing kernel method for solving the Allen-Cahn equation ⋮ Efficient Mittag-Leffler collocation method for solving linear and nonlinear fractional differential equations ⋮ An iterative approach for the numerical solution of fractional BVPs

Cites Work

• Spline collocation for nonlinear fractional boundary value problems
• A new algorithm for nonlinear fourth order multi-point boundary value problems
• Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order
• A collocation-shooting method for solving fractional boundary value problems
• Numerical methods for fourth-order fractional integro-differential equations
• An approximation solution of a nonlinear equation with Riemann-Liouville's fractional derivatives by He's variational iteration method
• Numerical approach to differential equations of fractional order
• The method of upper and lower solutions and impulsive fractional differential inclusions
• Homotopy perturbation method: a new nonlinear analytical technique
• Upper and lower solutions method and a fractional differential equation boundary value problem

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