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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 104173, 6 pages
http://dx.doi.org/10.1155/2013/104173
Research Article

Fractional Sums and Differences with Binomial Coefficients

1Department of Mathematics, Faculty of Art and Sciencs, Çankaya University, Balgat, 06530 Ankara, Turkey
2Institute of Space Sciences, P.O. BOX MG-23, 76900 Magurele-Bucharest, Romania
3Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
4Department of Mathematics, Texas A & M University, 700 University Boulevard, Kingsville, TX, USA

Received 31 March 2013; Accepted 3 May 2013

Academic Editor: Shurong Sun

Copyright © 2013 Thabet Abdeljawad 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 [7 citations]

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

  • Dorota Mozyrska, and Ewa Girejko, “On Solutions to Fractional Discrete Systems with Sequential h-Differences,” Abstract and Applied Analysis, 2013. View at Publisher · View at Google Scholar
  • Guo-Cheng Wu, and Dumitru Baleanu, “Chaos synchronization of the discrete fractional logistic map,” Signal Processing, vol. 102, pp. 96–99, 2014. View at Publisher · View at Google Scholar
  • Guo-Cheng Wu, and Dumitru Baleanu, “Discrete chaos in fractional delayed logistic maps,” Nonlinear Dynamics, 2014. View at Publisher · View at Google Scholar
  • Ivan Area, Eduardo Godoy, and Juan J. Nieto, “Fixed point theory approach to boundary value problems for second-order difference equations on non-uniform lattices,” Advances in Difference Equations, 2014. View at Publisher · View at Google Scholar
  • Ravi P. Agarwal, Bashir Ahmad, Ahmed Alsaedi, and Hana Al-Hutami, “Existence Theory for -Antiperiodic Boundary Value Problems of Sequential -Fractional Integrodifferential Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–12, 2014. View at Publisher · View at Google Scholar
  • Lihong Zhang, Dumitru Baleanu, and Guotao Wang, “Nonlocal Boundary Value Problem for Nonlinear Impulsive -Integrodifference Equation,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Weidong Lv, “Solvability for a Discrete Fractional Three-Point Boundary Value Problem at Resonance,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar