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International Journal of Differential Equations
Volume 2011 (2011), Article ID 814132, 8 pages
Research Article

New Method for Solving Linear Fractional Differential Equations

Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

Received 4 May 2011; Revised 21 July 2011; Accepted 25 July 2011

Academic Editor: Shaher M. Momani

Copyright © 2011 S. Z. Rida and A. A. M. Arafa. 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 [5 citations]

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

  • S. Hassan HosseinNia, Inés Tejado, and Blas M. Vinagre, “Stability of fractional order switching systems,” Computers & Mathematics with Applications, 2013. View at Publisher · View at Google Scholar
  • Arafa, Rida, Mohammadein, and Ali, “Solving nonlinear fractional differential equation by generalized Mittag-Leffler function method,” Communications in Theoretical Physics, vol. 59, no. 6, pp. 661–663, 2013. View at Publisher · View at Google Scholar
  • Zeyad Abdel Aziz Al-Zhour, “The general (vector) solutions of such linear (coupled) matrix fractional differential equations by using Kronecker structures,” Applied Mathematics and Computation, vol. 232, pp. 498–510, 2014. View at Publisher · View at Google Scholar
  • Gilberto Gonzalez-Parra, Abraham J. Arenas, and Benito M. Chen-Charpentier, “A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1),” Mathematical Methods in The Applied Sciences, vol. 37, no. 15, pp. 2218–2226, 2014. View at Publisher · View at Google Scholar
  • Abraham J. Arenas, Gilberto González-Parra, and Benito M. Chen-Charpentier, “Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order,” Mathematics and Computers in Simulation, 2015. View at Publisher · View at Google Scholar