About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2011 (2011), Article ID 565067, 21 pages
http://dx.doi.org/10.1155/2011/565067
Research Article

Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations

Institute of Mathematics, Faculty of Mechanical Engineering, Technická 2, 616 69 Brno, Czech Republic

Received 7 January 2011; Accepted 23 April 2011

Academic Editor: Yuri V. Rogovchenko

Copyright © 2011 Jan Čermák 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.

  • Jan Čermák, Tomáš Kisela, and Luděk Nechvátal, “Stability and asymptotic properties of a linear fractional difference equation,” Advances in Difference Equations, vol. 2012, 2012. View at PublisherView at Google Scholar
  • Tomas Kisela, “Power functions and essentials of fractional calculus on isolated time scales,” Advances in Difference Equations, 2013. View at PublisherView at Google Scholar
  • Jan Čermák, Tomáš Kisela, and Luděk Nechvátal, “Stability regions for linear fractional differential systems and their discretizations,” Applied Mathematics and Computation, vol. 219, no. 12, pp. 7012–7022, 2013. View at PublisherView at Google Scholar
  • Ferhan M. Atici, “Exponential Functions Of Discrete Fractional Calculus,” Applicable Analysis And Discrete Mathematics, vol. 7, no. 2, pp. 343–353, 2013. View at PublisherView at Google Scholar
  • Jan Čermák, and Tomáš Kisela, “Exact and discretized stability of the Bagley–Torvik equation,” Journal of Computational and Applied Mathematics, 2014. View at PublisherView at Google Scholar
  • Mohamad Rafi Segi Rahmat, “Integral Transform Methods for Solving Fractional Dynamic Equations on Time Scales,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at PublisherView at Google Scholar