About this Journal Submit a Manuscript Table of Contents
Advances in Mathematical Physics
Volume 2013 (2013), Article ID 498789, 7 pages
http://dx.doi.org/10.1155/2013/498789
Research Article

Complexity and the Fractional Calculus

1Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, TX 76203-1427, USA
2Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 6-D, Arica, Chile
3Information Science Directorate, Army Research Office, Research Triangle Park, NC 27709, USA

Received 21 March 2013; Accepted 28 March 2013

Academic Editor: Dumitru Baleanu

Copyright © 2013 Pensri Pramukkul et al. 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 [6 citations]

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

  • R. F. Rodríguez, J. Fujioka, and E. Salinas-Rodríguez, “Fractional fluctuation effects on the light scattered by a viscoelastic suspension,” Physical Review E, vol. 88, no. 2, 2013. View at Publisher · View at Google Scholar
  • A. Svenkeson, M.T. Beig, M. Turalska, B.J. West, and P. Grigolini, “Fractional trajectories: Decorrelation versus friction,” Physica A: Statistical Mechanics and its Applications, 2013. View at Publisher · View at Google Scholar
  • Marzieh Zare, and Paolo Grigolini, “Criticality and avalanches in neural networks,” Chaos, Solitons & Fractals, 2013. View at Publisher · View at Google Scholar
  • Mauro Bologna, Bruce West, and Paolo Grigolini, “Renewal and memory origin of anomalous diffusion: A discussion of their joint action,” Physical Review E, vol. 88, no. 6, 2013. View at Publisher · View at Google Scholar
  • Gianni Pagnini, “Short Note on the emergence of fractional kinetics,” Physica A: Statistical Mechanics and its Applications, 2014. View at Publisher · View at Google Scholar
  • Pensri Pramukkul, Adam Svenkeson, and Paolo Grigolini, “Effect of noise and detector sensitivity on a dynamical process: Inverse power law and Mittag-Leffler interevent time survival probabilities,” Physical Review E, vol. 89, no. 2, 2014. View at Publisher · View at Google Scholar