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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 267108, 12 pages
http://dx.doi.org/10.1155/2012/267108
Research Article

Existence Results for Solutions of Nonlinear Fractional Differential Equations

1Department of Statistics, Gaziosmanpasa University, 60250 Tokat, Turkey
2Department of Primary Mathematics Education, Mevlana University, 34528 Konya, Turkey

Received 15 February 2012; Accepted 1 April 2012

Academic Editor: Allaberen Ashyralyev

Copyright © 2012 Ali Yakar and Mehmet Emir Koksal. 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.

  • Ali Yakar, “Initial time difference quasilinearization for Caputo Fractional Differential Equations,” Advances In Difference Equations, 2012. View at Publisher · View at Google Scholar
  • Allaberen Ashyralyev, and Zafer Cakir, “On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition,” Discrete Dynamics in Nature and Society, vol. 2012, pp. 1–15, 2012. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Dumitru Baleanu, “Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes,” Abstract and Applied Analysis, vol. 2013, pp. 1–8, 2013. View at Publisher · View at Google Scholar
  • Allaberen Ashyralyev, and Zafer Cakir, “FDM for fractional parabolic equations with the Neumann condition,” Advances in Difference Equations, vol. 2013, no. 1, pp. 120, 2013. View at Publisher · View at Google Scholar
  • Allaberen Ashyralyev, “Well-posedness of fractional parabolic equations,” Boundary Value Problems, vol. 2013, no. 1, pp. 31, 2013. View at Publisher · View at Google Scholar
  • Moldir A Muratbekova, Kanat M Shinaliyev, and Batirkhan K Turmetov, “On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator,” Boundary Value Problems, vol. 2014, no. 1, pp. 29, 2014. View at Publisher · View at Google Scholar
  • Allaberen Ashyralyev, and Zafer Cakir, “r-Modified Crank-Nicholson difference scheme for fractional parabolic PDE,” Boundary Value Problems, vol. 2014, no. 1, pp. 76, 2014. View at Publisher · View at Google Scholar
  • Xi Fu, and Xiaoyou Liu, “Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar