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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 816803, 11 pages
Research Article

Numerical Modeling of Fractional-Order Biological Systems

1Department of Mathematical Sciences, College of Science, UAE University, Al Ain 15551, UAE
2Department of Mathematics, Faculty of Science, Helwan University, Cairo 11795, Egypt

Received 17 May 2013; Accepted 23 June 2013

Academic Editor: Ali H. Bhrawy

Copyright © 2013 Fathalla A. Rihan. 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.

  • A.A.M. Arafa, S.Z. Rida, and M. Khalil, “A fractional-order model of HIV infection with drug therapy effect,” Journal of the Egyptian Mathematical Society, 2013. View at Publisher · View at Google Scholar
  • O. Carja, T. Donchev, M. Rafaqat, and R. Ahmed, “Viability of fractional differential inclusions,” Applied Mathematics Letters, vol. 38, pp. 48–51, 2014. View at Publisher · View at Google Scholar
  • Dumitru Baleanu, Sayyedeh Zahra Nazemi, and Shahram Rezapour, “Attractivity for a k-dimensional system of fractional functional differential equations and global attractivity for a k-dimensional system of nonlinear fractional differential equations,” Journal of Inequalities and Applications, 2014. View at Publisher · View at Google Scholar
  • Fathalla A. Rihan, Dumitru Baleanu, S. Lakshmanan, and R. Rakkiyappan, “On Fractional SIRC Model with Salmonella Bacterial Infection,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • F. Silva Costa, J. A. P. F. Marão, J. C. Alves Soares, and E. Capelas de Oliveira, “Similarity solution to fractional nonlinear space-time diffusion-wave equation,” Journal of Mathematical Physics, vol. 56, no. 3, pp. 033507, 2015. View at Publisher · View at Google Scholar
  • F. A. Rihan, S. Lakshmanan, A. H. Hashish, R. Rakkiyappan, and E. Ahmed, “Fractional-order delayed predator–prey systems with Holling type-II functional response,” Nonlinear Dynamics, 2015. View at Publisher · View at Google Scholar
  • Dragan T. Spasic, Nemanja I. Kovincic, and Dragan V. Dankuc, “A new material identification pattern for the fractional Kelvin-Zener model describing biomaterials and human tissues,” Communications in Nonlinear Science and Numerical Simulation, 2016. View at Publisher · View at Google Scholar