Existence and finite-time stability results for impulsive fractional differential equations with maxima

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• 作者：Yuruo Zhang ; JinRong Wang
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：51
• 期：1-2
• 页码：67-79
• 全文大小：427 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Computational Mathematics and Numerical Analysis
  Applied Mathematics and Computational Methods of Engineering
  Theory of Computation
  Mathematics of Computing
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1865-2085
• 卷排序：51

文摘

In this paper, we firstly establish an interesting impulsive Gronwall inequality with maxima involving Hadamard type singular kernel, which can be applied to make prior estimation. Secondly, we apply the above inequality and fixed point approach to show two existence results. Further, we show that finite-time stability result. Finally, an example is given to illustrate our theoretical results.KeywordsImpulsive fractional differential equations with maxima ExistenceFinite-time stability