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Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional‐Order Differential Equations

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  • C. Ünlü
  • H. Jafari
  • D. Baleanu

Abstract

A modification of the variational iteration method (VIM) for solving systems of nonlinear fractional‐order differential equations is proposed. The fractional derivatives are described in the Caputo sense. The solutions of fractional differential equations (FDE) obtained using the traditional variational iteration method give good approximations in the neighborhood of the initial position. The main advantage of the present method is that it can accelerate the convergence of the iterative approximate solutions relative to the approximate solutions obtained using the traditional variational iteration method. Illustrative examples are presented to show the validity of this modification.

Suggested Citation

  • C. Ünlü & H. Jafari & D. Baleanu, 2013. "Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional‐Order Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:461837
    DOI: 10.1155/2013/461837
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    References listed on IDEAS

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    1. Momani, Shaher & Abuasad, Salah, 2006. "Application of He’s variational iteration method to Helmholtz equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1119-1123.
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