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Advances in Mathematical Physics
Volume 2013 (2013), Article ID 479634, 8 pages
Research Article

A Fractional Anomalous Diffusion Model and Numerical Simulation for Sodium Ion Transport in the Intestinal Wall

School of Mathematics, Shandong University, Jinan 250100, China

Received 17 May 2013; Accepted 1 July 2013

Academic Editor: Changpin Li

Copyright © 2013 Bo Yu and Xiaoyun Jiang. 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.

  • Marco Martins Afonso, “Anomalous diffusion for inertial particles under gravity in parallel flows,” Physical Review E, vol. 89, no. 6, 2014. View at Publisher · View at Google Scholar
  • Baogui Xin, and Jinyi Zhang, “Finite-time stabilizing a fractional-order chaotic financial system with market confidence,” Nonlinear Dynamics, 2014. View at Publisher · View at Google Scholar
  • Ali H. Bhrawy, Abdulrahim AlZahrani, Dumitru Baleanu, and Yahia Alhamed, “A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Bo Yu, Xiaoyun Jiang, and Haitao Qi, “An inverse problem to estimate an unknown order of a Riemann-Liouville fractional derivative for a fractional Stokes' first problem for a heated gener,” Acta Mechanica Sinica, vol. 31, no. 2, pp. 153–161, 2015. View at Publisher · View at Google Scholar
  • Bo Yu, and Xiaoyun Jiang, “Numerical Identification of the Fractional Derivatives in the Two-Dimensional Fractional Cable Equation,” Journal of Scientific Computing, 2015. View at Publisher · View at Google Scholar
  • Andrea Amicarelli, Annalisa Di Bernardino, Franco Catalano, Giovanni Leuzzi, and Paolo Monti, “Analytical Solutions of the Balance Equation for the Scalar Variance in One-Dimensional Turbulent Flows under Stationary Conditions,” Advances in Mathematical Physics, vol. 2015, pp. 1–13, 2015. View at Publisher · View at Google Scholar
  • Marília Amável Gomes Soares, Celia Martins Cortez, Frederico Alan de Oliveira Cruz, and Dilson Silva, “Effect of surface bilayer charges on the magnetic field around ionic channels,” Physica B: Condensed Matter, 2016. View at Publisher · View at Google Scholar