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Abstract and Applied Analysis
Volume 2011 (2011), Article ID 292860, 15 pages
http://dx.doi.org/10.1155/2011/292860
Research Article

Boundary Value Problems for 饾憺 -Difference Inclusions

1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

Received 12 October 2010; Revised 24 January 2011; Accepted 22 February 2011

Academic Editor: Yuri V. Rogovchenko

Copyright © 2011 Bashir Ahmad and Sotiris K. Ntouyas. 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 [15 citations]

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

  • Bashir Ahmad, and Sotiris K. Ntouyas, “Fractional differential inclusions with fractional separated boundary condi tions,” Fractional Calculus and Applied Analysis, vol. 15, no. 3, pp. 362–382, 2012. View at PublisherView at Google Scholar
  • Bashir Ahmad, Sotiris K Ntouyas, and Ioannis K Purnaras, “Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations Difference equations: New trends and applications in biology, medicine and biotechnology,” Advances in Difference Equations, vol. 2012, 2012. View at PublisherView at Google Scholar
  • Bashir Ahmad, Ahmed Alsaedi, and Sotiris K. Ntouyas, “A study of second-order q-difference equations with boundary conditions,” Advances in Difference Equations, pp. 1–10, 2012. View at PublisherView at Google Scholar
  • Bashir Ahmad, Juan J. Nieto, and Ahmed Alsaedi, “A nonlocal three-point inclusion problem of Langevin equation with two diff erent fractional orders,” Advances in Difference Equations, 2012. View at PublisherView at Google Scholar
  • Bashir Ahmad, and Juan J. Nieto, “On nonlocal boundary value problems of nonlinear q-difference equations,” Advances in Difference Equations, pp. 1–10, 2012. View at PublisherView at Google Scholar
  • Sotiris K. Ntouyas, “Quantum calculus on finite intervals and applications to impulsive differen ce equations,” Advances in Difference Equations, 2013. View at PublisherView at Google Scholar
  • Jessada Tariboon, and Weerawat Sudsutad, “Existence of solutions for nonlinear second-order q-difference equations with three-point multi-term q-integral boundary conditions,” International Journal of Pure and Applied Mathematics, vol. 86, no. 4, pp. 701–720, 2013. View at PublisherView at Google Scholar
  • Bashir Ahmad, and Sotiris K. Ntouyas, “Existence of Solutions for Nonlinear Fractional q-Difference Inclusions with Nonlocal Robin (Separated) Conditions,” Mediterranean Journal of Mathematics, vol. 10, no. 3, pp. 1333–1351, 2013. View at PublisherView at Google Scholar
  • Nittaya Pongarm, Suphawat Asawasamrit, and Jessada Tariboon, “Sequential Derivatives of Nonlinear -Difference Equations with Three-Point -Integral Boundary Conditions,” Journal of Applied Mathematics, vol. 2013, pp. 1–9, 2013. View at PublisherView at Google Scholar
  • Yulin Zhao, Guobing Ye, and Haibo Chen, “Multiple Positive Solutions of a Singular Semipositone Integral Boundary Value Problem for Fractional -Derivatives Equation,” Abstract and Applied Analysis, vol. 2013, pp. 1–12, 2013. View at PublisherView at Google Scholar
  • Thanin Sitthiwirattham, Jessada Tariboon, and Sotiris K. Ntouyas, “Three-Point Boundary Value Problems of Nonlinear Second-Order -Difference Equations Involving Different Numbers of,” Journal of Applied Mathematics, vol. 2013, pp. 1–12, 2013. View at PublisherView at Google Scholar
  • Changlong Yu, and Jufang Wang, “Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations,” Abstract and Applied Analysis, vol. 2013, pp. 1–9, 2013. View at PublisherView 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 PublisherView at Google Scholar
  • Lihong Zhang, Bashir Ahmad, and Guotao Wang, “Impulsive Antiperiodic Boundary Value Problems for Nonlinear -Difference Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–5, 2014. View at PublisherView at Google Scholar
  • Jessada Tariboon, and Sotiris K. Ntouyas, “Boundary Value Problems for First-Order Impulsive Functional -Integrodifference Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at PublisherView at Google Scholar