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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 303545, 11 pages
http://dx.doi.org/10.1155/2012/303545
Research Article

Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions

Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

Received 28 February 2012; Accepted 7 September 2012

Academic Editor: Yong H. Wu

Copyright © 2012 J. Caballero 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 [11 citations]

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

  • Yongping Sun, and Min Zhao, “Positive solutions for a class of fractional differential equations with integral boundary conditions,” Applied Mathematics Letters, vol. 34, pp. 17–21, 2014. View at Publisher · View at Google Scholar
  • Min Jiang, and Shouming Zhong, “Successively iterative method for fractional differential equations with integral boundary conditions,” Applied Mathematics Letters, 2014. View at Publisher · View at Google Scholar
  • Chengbo Zhai, and Fang Wang, “Properties of positive solutions for the operator equation A x = λ x $Ax=\lambda x$ and applications to fractional differential equations with integral boundary conditions,” Advances in Difference Equations, vol. 2015, no. 1, 2015. View at Publisher · View at Google Scholar
  • Jackie Harjani, Juan Rocha, and Kishin Sadarangani, “Existence and uniqueness of solutions for a class of fractional differential coupled system with integral boundary conditions,” Applied Mathematics and Information Sciences, vol. 9, no. 2, pp. 401–405, 2015. View at Publisher · View at Google Scholar
  • Kishin Sadarangani, and Obidjon Khayrullayevich Abdullaev, “A non-local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative,” Advances in Difference Equations, vol. 2016, no. 1, 2016. View at Publisher · View at Google Scholar
  • Johnny Henderson, and Rodica Luca, “Existence of positive solutions for a system of semipositone fractional boundary value problems,” Electronic Journal of Qualitative Theory of Differential Equations, vol. 2016, 2016. View at Publisher · View at Google Scholar
  • Johnny Henderson, and Rodica Luca, “Systems of Riemann–Liouville fractional equations with multi-point boundary conditions,” Applied Mathematics and Computation, vol. 309, pp. 303–323, 2017. View at Publisher · View at Google Scholar
  • Rodica Luca, “Positive solutions for a system of Riemann-Liouville fractional differential equations with multi-point fractional boundary conditions,” Boundary Value Problems, vol. 2017, no. 1, 2017. View at Publisher · View at Google Scholar
  • Johnny Henderson, and Rodica Luca, “Existence of Nonnegative Solutions for a Fractional Integro-Differential Equation,” Results in Mathematics, 2017. View at Publisher · View at Google Scholar
  • Bashir Ahmad, and Rodica Luca, “Existence of solutions for a sequential fractional integro-differential system with coupled integral boundary conditions,” Chaos, Solitons & Fractals, vol. 104, pp. 378–388, 2017. View at Publisher · View at Google Scholar
  • Johnny Henderson, and Rodica Luca, “Existence of positive solutions for a singular fractional boundary value problem,” Nonlinear Analysis: Modelling and Control, vol. 22, no. 1, pp. 99–114, 2017. View at Publisher · View at Google Scholar