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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 837437, 7 pages
http://dx.doi.org/10.1155/2012/837437
Research Article

Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations

1Department of Mathematics, Cankaya University, Ogretmenler Cad. 14 06530, Balgat, Ankara, Turkey
2Institute of Space Sciences, Magurele, Bucharest, Romania
3Department of Mathematics, Azarbaijan University of Shahid Madani, Tabriz, Iran

Received 23 January 2012; Accepted 20 March 2012

Academic Editor: Juan J. Trujillo

Copyright © 2012 D. Baleanu 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 [14 citations]

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

  • Mohammad Maleki, Ishak Hashim, Majid Tavassoli Kajani, and Saeid Abbasbandy, “An Adaptive Pseudospectral Method for Fractional Order Boundary Value Problems,” Abstract and Applied Analysis, vol. 2012, pp. 1–19, 2012. View at Publisher · View at Google Scholar
  • Jiacai Huang, Hongsheng Li, YangQuan Chen, and Qinghong Xu, “Robust Position Control of PMSM Using Fractional-Order Sliding Mode Controller,” Abstract and Applied Analysis, vol. 2012, pp. 1–33, 2012. View at Publisher · View at Google Scholar
  • Ravi P. Agarwal, Hakimeh Mohammadi, and Shahram Rezapour, “Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces,” Boundary Value Problems, 2013. View at Publisher · View at Google Scholar
  • Shuqin Zhang, and Ailing Shi, “Existence result for a nonlinear fractional differential equation with inte gral boundary conditions at resonance,” Advances in Difference Equations, 2013. View at Publisher · View at Google Scholar
  • Hakimeh Mohammadi, and Shahram Rezapour, “The existence of solutions for a nonlinear mixed problem of singular fracti onal differential equations,” Advances in Difference Equations, 2013. View at Publisher · View at Google Scholar
  • Sayyedeh Zahra Nazemi, and Shahram Rezapour, “Existence and uniqueness of solutions for multi-term nonlinear fractional i ntegro-differential equations,” Advances in Difference Equations, 2013. View at Publisher · View at Google Scholar
  • Ewa Girejko, and Malgorzata Wyrwas, “Fractional nonlinear systems with sequential operators,” Central European Journal of Physics, vol. 11, no. 10, pp. 1295–1303, 2013. View at Publisher · View at Google Scholar
  • Damla Arslan, and Roberto Garrappa, “Nonstandard finite difference schemes for a fractional-order Brusselator sy stem,” Advances In Difference Equations, 2013. View at Publisher · View at Google Scholar
  • Dumitru Baleanu, Sayyedeh Zahra Nazemi, and Shahram Rezapour, “The Existence of Positive Solutions for a New Coupled System of Multiterm Singular Fractional Integrodifferential Boundary Value Problems,” Abstract and Applied Analysis, vol. 2013, pp. 1–15, 2013. View at Publisher · View at Google Scholar
  • D. Baleanu, A. H. Bhrawy, and T. M. Taha, “Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems,” Abstract and Applied Analysis, vol. 2013, pp. 1–10, 2013. View at Publisher · View at Google Scholar
  • Yue Liang, Yu Ma, and Xiaoyan Gao, “Positive Solutions for the Initial Value Problems of Fractional Evolution Equation,” Journal of Function Spaces and Applications, vol. 2013, pp. 1–8, 2013. View at Publisher · View at Google Scholar
  • Sayyedeh Zahra Nazemi, and Shahram Rezapour, “Attractivity for a k-dimensional system of fractional functional differenti al equations and global attractivity for a k-dimensional system of nonlinea r fractional differential equations,” Journal of Inequalities and Applications, 2014. View at Publisher · View at Google Scholar
  • Dumitru Baleanu, Sayyedeh Zahra Nazemi, and Shahram Rezapour, “A -Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Dumitru Baleanu, Sayyedeh Zahra Nazemi, and Shahram Rezapour, “The Existence of Solution for a -Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems,” Abstract and Applied Analysis, vol. 2014, pp. 1–13, 2014. View at Publisher · View at Google Scholar