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International Journal of Differential Equations
Volume 2010 (2010), Article ID 315421, 16 pages
Research Article

On the Speed of Spread for Fractional Reaction-Diffusion Equations

Department of Mathematics, Georgetown University, Box 571233, Washington, DC 20057, USA

Received 12 August 2009; Revised 12 October 2009; Accepted 25 October 2009

Academic Editor: Om Agrawal

Copyright © 2010 Hans Engler. 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 [9 citations]

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

  • Kevin Burrage, Nicholas Hale, and David Kay, “An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations,” SIAM Journal on Scientific Computing, vol. 34, no. 4, pp. A2145–A2172, 2012. View at PublisherView at Google Scholar
  • Xavier Cabre, and Jean-Michel Roquejoffre, “The Influence of Fractional Diffusion in Fisher-KPP Equations,” Communications in Mathematical Physics, vol. 320, no. 3, pp. 679–722, 2013. View at PublisherView at Google Scholar
  • Patricio Felmer, and Miguel Yangari, “Fast Propagation For Fractional Kpp Equations With Slowly Decaying Initial Conditions,” Siam Journal On Mathematical Analysis, vol. 45, no. 2, pp. 662–678, 2013. View at PublisherView at Google Scholar
  • Basil S. Bayati, “Fractional diffusion-reaction stochastic simulations,” The Journal of Chemical Physics, vol. 138, no. 10, pp. 104117, 2013. View at PublisherView at Google Scholar
  • R. K. Saxena, A. M. Mathai, and H. J. Haubold, “Distributed order reaction-diffusion systems associated with Caputo derivatives,” Journal of Mathematical Physics, vol. 55, no. 8, pp. 083519, 2014. View at PublisherView at Google Scholar
  • Q. Yang, I. Turner, T. Moroney, and F. Liu, “A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations,” Applied Mathematical Modelling, 2014. View at PublisherView at Google Scholar
  • Hongmei Cheng, and Rong Yuan, “The Spreading Property For A Prey-Predator Reaction-Diffusion System With Fractional Diffusion,” Fractional Calculus And Applied Analysis, vol. 18, no. 3, pp. 565–579, 2015. View at PublisherView at Google Scholar
  • Sylvie Meleard, and Sepideh Mirrahimi, “Singular Limits for Reaction-Diffusion Equations with Fractional Laplacian and Local or Nonlocal Nonlinearity,” Communications In Partial Differential Equations, vol. 40, no. 5, pp. 957–993, 2015. View at PublisherView at Google Scholar
  • Ram Saxena, Arak Mathai, and Hans Haubold, “Computational Solutions of Distributed Order Reaction-Diffusion Systems Associated with Riemann-Liouville Derivatives,” Axioms, vol. 4, no. 2, pp. 120–133, 2015. View at PublisherView at Google Scholar