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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 406757, 13 pages
http://dx.doi.org/10.1155/2012/406757
Research Article

On the Definitions of Nabla Fractional Operators

1Department of Mathematics, Çankaya University, 06530 Ankara, Turkey
2Department of Mathematics, Western Kentucky University, Bowling Green, KY 42101, USA

Received 12 April 2012; Accepted 4 September 2012

Academic Editor: Dumitru Bǎleanu

Copyright © 2012 Thabet Abdeljawad and Ferhan M. Atici. 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.

  • Thabet Abdeljawad, Dumitru Baleanu, Fahd Jarad, and Ravi P. Agarwal, “Fractional Sums and Differences with Binomial Coefficients,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
  • Thabet Abdeljawad, “On Delta and Nabla Caputo Fractional Differences and Dual Identities,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–12, 2013. View at Publisher · View 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 Publisher · View at Google Scholar
  • J. Jagan Mohan, and G. V. S. R. Deekshitulu, “Solutions of Nabla Fractional Difference Equations Using N-Transforms,” Communications in Mathematics and Statistics, 2014. View at Publisher · View at Google Scholar
  • A. Feza Guvenilir, Allan C. Peterson, and Kenan Tas, “Nabla discrete fractional Gruss type inequality,” Journal of Inequalities and Applications, 2014. View at Publisher · View at Google Scholar
  • T. Abdeljawad, “On conformable fractional calculus,” Journal of Computational and Applied Mathematics, 2014. View at Publisher · View at Google Scholar