A fractional variational iteration method for solving fractional nonlinear differential equations

DOI10.1016/j.camwa.2010.09.010zbMath1219.65085arXiv1007.1910OpenAlexW1541112376MaRDI QIDQ636660

Guo-Cheng Wu

Publication date: 28 August 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1910

zbMATH Keywords

fractional variational iteration methodmodified Riemann-Liouville derivativefractional corrected functional

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for ordinary differential equations (65L99) Fractional ordinary differential equations (34A08)

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Cites Work

• Fractional variational iteration method and its application
• Discrete-time fractional variational problems
• 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
• Analytical solution of a fractional diffusion equation by variational iteration method
• On the local fractional derivative
• Analytical approximate solutions for nonlinear fractional differential equations
• 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
• A fractional calculus of variations for multiple integrals with application to vibrating string

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