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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 546062, 11 pages
http://dx.doi.org/10.1155/2012/546062
Research Article

A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations

Department of Mathematics and Computer Science, Çankaya University, 06530 Ankara, Turkey

Received 23 January 2012; Accepted 20 February 2012

Academic Editor: Juan J. Trujillo

Copyright © 2012 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.

  • Ricardo Almeida, and Natália Martins, “Existence results for fractional q-difference equations of order with three-point boundary conditions,” Communications in Nonlinear Science and Numerical Simulation, 2013. View at Publisher · View at Google Scholar
  • Thabet Abdeljawad, and Jehad O. Alzabut, “The -Fractional Analogue for Gronwall-Type Inequality,” Journal of Function Spaces and Applications, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Hüseyin Aktuğlu, and Mehmet Ali Özarslan, “On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator,” Abstract and Applied Analysis, vol. 2013, pp. 1–8, 2013. View at Publisher · View at Google Scholar
  • A. G. Radwan, K. Moaddy, and I. Hashim, “Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit,” Abstract and Applied Analysis, vol. 2013, pp. 1–10, 2013. View at Publisher · View at Google Scholar
  • Bashir Ahmad, and Juan Jose Nieto, “Basic Theory of Nonlinear Third-Order q-Difference Equations and Inclusions,” Mathematical Modelling and Analysis, vol. 18, no. 1, pp. 122–135, 2013. View at Publisher · View at Google Scholar
  • Wengui Yang, “Positive solutions for nonlinear semipositone fractional q-difference system with coupled integral boundary conditions,” Applied Mathematics and Computation, vol. 244, pp. 702–725, 2014. View at Publisher · View at Google Scholar
  • Qiaozhen Yuan, and Wengui Yang, “Positive solutions of nonlinear boundary value problems for delayed fractional q-difference systems,” Advances in Difference Equations, 2014. View at Publisher · View at Google Scholar