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International Journal of Differential Equations
Volume 2012 (2012), Article ID 346089, 17 pages
http://dx.doi.org/10.1155/2012/346089
Research Article

On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative

Department of Mathematics Engineering, G眉m眉艧hane University, 29100 G眉m眉艧hane, Turkey

Received 10 December 2011; Accepted 6 March 2012

Academic Editor: Ebrahim Momoniat

Copyright © 2012 Mehmet Merdan. 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 [7 citations]

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

  • Sanyang Liu, Guotao Wang, and Lihong Zhang, “Existence results for a coupled system of nonlinear neutral fractional differential equations,” Applied Mathematics Letters, 2013. View at PublisherView at Google Scholar
  • Guotao Wang, Sanyang Liu, and Lihong Zhang, “Neutral fractional integro-differential equation with nonlinear term depending on lower order derivative,” Journal of Computational and Applied Mathematics, 2013. View at PublisherView at Google Scholar
  • Abdon Atangana, and Samir Brahim Belhaouari, “Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method,” Mathematical Problems in Engineering, vol. 2013, pp. 1–9, 2013. View at PublisherView 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 PublisherView at Google Scholar
  • Asma Ali Elbeleze, Adem Kılıçman, and Bachok M. Taib, “Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation,” Mathematical Problems in Engineering, vol. 2013, pp. 1–10, 2013. View at PublisherView at Google Scholar
  • S. Balaji, “Legendre wavelet operational matrix method for solution of fractional order Riccati differential equation,” Journal of the Egyptian Mathematical Society, 2014. View at PublisherView at Google Scholar
  • S. Balaji, “Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation,” International Journal of Mathematics and Mathematical Sciences, vol. 2014, pp. 1–10, 2014. View at PublisherView at Google Scholar