The fractional variational iteration method improved with the Adomian series

DOI10.1016/j.aml.2012.06.007zbMath1252.65115OpenAlexW2057285637MaRDI QIDQ714565

Jie Ji, Ya-Juan Dong, Jian-Bing Zhang

Publication date: 11 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2012.06.007

zbMATH Keywords

numerical examplesinitial value problemsfractional variational iteration methodfractional differentiabilityAdomian series

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

Related Items (6)

A new fractional subequation method and its applications for space-time fractional partial differential equations ⋮ Approximate analytic solutions of time-fractional Hirota-Satsuma coupled KdV equation and coupled MKdV equation ⋮ Comment on ``Variational iteration method for fractional calculus using He's polynomials ⋮ Fractional variational iteration method for fractional Cauchy problems ⋮ An efficient analytical method for solving local fractional nonlinear PDEs arising in mathematical physics ⋮ New exact solitary wave solutions to the space-time fractional differential equations with conformable derivative

Cites Work

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• Fractional variational iteration method and its application
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Application of He's variational iteration method and Adomian's decomposition method to the fractional KdV-Burgers-Kuramoto equation
• The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
• On the local fractional derivative
• Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Local Fractional Fokker-Planck Equation
• Fractional differentiability of nowhere differentiable functions and dimensions
• Diffusion problems in fractal media defined on Cantor sets

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