Ulam–Hyers Stability for Fractional Differential Equations in Quaternionic Analysis

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• 作者：Zhan-Peng Yang ; Tian-Zhou Xu ; Min Qi
• 关键词：Fractional differential equation ; Regular function ; Fixed point ; Associated operator ; Quaternionic analysis ; Weakly Picard operator ; Ulam–Hyers stability
• 刊名：Advances in Applied Clifford Algebras
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：26
• 期：1
• 页码：469-478
• 全文大小：481 KB
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• 作者单位：Zhan-Peng Yang (1)
  Tian-Zhou Xu (1)
  Min Qi (2)
  
  1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China
  2. Basic Teaching Department, Beijing College of Finance and Commerce, Beijing, 101101, People’s Republic of China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Mathematical Methods in Physics
  Mathematical and Computational Physics
  Applications of Mathematics
  Physics
  
• 出版者：Birkh盲user Basel
• ISSN：1661-4909

文摘

Using the fixed point method and the weakly Picard operator technique, we obtain some abstract Ulam–Hyers stability results of the initial value problem of fractional differential equations in quaternionic analysis. Sufficient conditions for the existence of solutions of the initial value problem are given by the application of the method of associated spaces. An example is provided to illustrate these results.