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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 217641, 7 pages
http://dx.doi.org/10.1155/2013/217641
Research Article

Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations

1School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China
2Department of Mathematics, Jining University, Qufu, Shandong 273155, China

Received 29 May 2013; Accepted 22 July 2013

Academic Editor: Irena Lasiecka

Copyright © 2013 Jing Shao and Fanwei Meng. 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 [5 citations]

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

  • Shi-you Lin, “New Results for Generalized Gronwall Inequalities and Their Applications,” Abstract and Applied Analysis, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Jing Shao, “New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems,” Journal of Applied Mathematics, vol. 2014, pp. 1–5, 2014. View at Publisher · View at Google Scholar
  • Phollakrit Thiramanus, Jessada Tariboon, and Sotiris K. Ntouyas, “Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Xiaoling Fu, Huixuan Wang, Naxin Cui, and Chenghui Zhang, “Energy Management Strategy Based on the Driving Cycle Model for Plugin Hybrid Electric Vehicles,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Kelong Cheng, Chunxiang Guo, and Min Tang, “Some Nonlinear Gronwall-Bellman-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar