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Mathematical Problems in Engineering
Volume 2015, Article ID 519072, 8 pages
http://dx.doi.org/10.1155/2015/519072
Research Article

On Nonlinear Fractional Sum-Difference Equations via Fractional Sum Boundary Conditions Involving Different Orders

Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand

Received 13 July 2015; Revised 3 September 2015; Accepted 6 September 2015

Academic Editor: Sotiris K. Ntouyas

Copyright © 2015 Saowaluk Chasreechai 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 [8 citations]

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

  • Thanin Sitthiwirattham, and Jiraporn Reunsumrit, “Positive solutions of three-point fractional sum boundary value problem for Caputo fractional difference equations via an argument with a shift,” Positivity, vol. 20, no. 4, pp. 861–876, 2016. View at Publisher · View at Google Scholar
  • Bunjong Kaewwisetkul, and Thanin Sitthiwirattham, “On nonlocal fractional sum-difference boundary value problems for Caputo fractional functional difference equations with delay,” Advances in Difference Equations, vol. 2017, no. 1, 2017. View at Publisher · View at Google Scholar
  • Jarunee Soontharanon, Thanin Sitthiwirattham, and Jiraporn Reunsumrit, “Three-point fractional h-sum boundary value problems for sequential caputo fractional h-sum-difference equations,” Filomat, vol. 31, no. 18, pp. 5727–5742, 2017. View at Publisher · View at Google Scholar
  • Thanin Sitthiwirattham, Saowaluck Chasreechai, and Jarunee Soontharanon, “On positive solution to multi-point fractional h-sum eigenvalue problems for caputo fractional h-difference equations,” Filomat, vol. 32, no. 8, pp. 2933–2951, 2018. View at Publisher · View at Google Scholar
  • Saowaluck Chasreechai, and Thanin Sitthiwirattham, “Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations,” Discrete Dynamics in Nature and Society, vol. 2018, pp. 1–12, 2018. View at Publisher · View at Google Scholar
  • Chasreechai, and Sitthiwirattham, “On Separate Fractional Sum-Difference Equations with n-Point Fractional Sum-Difference Boundary Conditions via Arbitrary Different Fractional Orders,” Mathematics, vol. 7, no. 5, pp. 471, 2019. View at Publisher · View at Google Scholar
  • Jarunee Soontharanon, Saowaluck Chasreechai, and Thanin Sitthiwirattham, “A Coupled System of Fractional Difference Equations with Nonlocal Fractional Sum Boundary Conditions on the Discrete Half-Line,” Mathematics, vol. 7, no. 3, pp. 256, 2019. View at Publisher · View at Google Scholar
  • Chanon Promsakon, Saowaluck Chasreechai, and Thanin Sitthiwirattham, “Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions,” Advances in Difference Equations, vol. 2019, no. 1, 2019. View at Publisher · View at Google Scholar