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International Journal of Differential Equations
Volume 2010 (2010), Article ID 764738, 8 pages
http://dx.doi.org/10.1155/2010/764738
Research Article

He's Variational Iteration Method for Solving Fractional Riccati Differential Equation

Department of Mathematics and Computer Science, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran

Received 10 August 2009; Accepted 28 January 2010

Academic Editor: Shaher M. Momani

Copyright © 2010 H. Jafari and H. Tajadodi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [16 citations]

The following is the list of published articles that have cited the current article.

  • Abdolhosein Fereidoon, Hessameddin Yaghoobi, and Mohammadreza Davoudabadi, “Application of the Homotopy Perturbation Method for Solving the Foam Drainage Equation,” International Journal of Differential Equations, vol. 2011, pp. 1–13, 2011. View at Publisher · View at Google Scholar
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  • Hossein Jafari, Haleh Tajadodi, Dumitru Baleanu, Abdulrahim A. Al-Zahrani, Yahia A. Alhamed, and Adnan H. Zahid, “Fractional sub-equation method for the fractional generalized reaction Duffing model and nonlinear fractional Sharma-Tasso-Olver equation,” Central European Journal of Physics, 2013. View at Publisher · View at Google Scholar
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  • Hossein Jafari, Hale Tajadodi, and Dumitru Baleanu, “A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials,” Fractional Calculus And Applied Analysis, vol. 16, no. 1, pp. 109–122, 2013. View at Publisher · View at Google Scholar
  • Hossein Jafari, Chaudry M. Khalique, Mohammad Ramezani, and Haleh Tajadodi, “Numerical solution of fractional differential equations by using fractional B-spline,” Central European Journal of Physics, vol. 11, no. 10, pp. 1372–1376, 2013. View at Publisher · View at Google Scholar
  • Ekhtiar Khodadadi, and Ercan Celik, “The variational iteration method for fuzzy fractional differential equations with uncertainty,” Fixed Point Theory and Applications, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Bin Zheng, and Chuanbao Wen, “Exact solutions for fractional partial differential equations by a new fractional sub-equation method,” Advances In Difference Equations, 2013. View at Publisher · View at Google Scholar
  • Dumitru Baleanu, Mohsen Alipour, and Hossein Jafari, “The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative,” Abstract and Applied Analysis, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Hossein Jafari, Haleh Tajadodi, Nematollah Kadkhoda, and Dumitru Baleanu, “Fractional Subequation Method for Cahn-Hilliard and Klein-Gordon Equations,” Abstract and Applied Analysis, 2013. View at Publisher · View at Google Scholar
  • H. Jafari, H. Tajadodi, and D. Baleanu, “Application of a Homogeneous Balance Method to Exact Solutions of Nonlinear Fractional Evolution Equations,” Journal of Computational and Nonlinear Dynamics, vol. 9, no. 2, 2014. View at Publisher · View at Google Scholar
  • Shun-Qin Wang, Yong-Ju Yang, and Hassan Kamil Jassim, “Local Fractional Function Decomposition Method for Solving Inhomogeneous Wave Equations with Local Fractional Derivative,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • H. Jafari, Abdelouahab Kadem, and D. Baleanu, “Variational Iteration Method for a Fractional-Order Brusselator System,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Abdon Atangana, and S. C. Oukouomi Noutchie, “A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Asma Ali Elbeleze, Adem Kılıçman, and Bachok M. Taib, “Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar