Existence results for Caputo type sequential fractional differential inclusions with nonlocal integral boundary conditions

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• 作者：Bashir Ahmad ; Sotiris K. Ntouyas
• 关键词：Fractional differential inclusions ; Sequential fractional derivative ; Integral boundary conditions ; Fixed point theorems ; 34A60 ; 34A08 ; 34B15
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：50
• 期：1-2
• 页码：157-174
• 全文大小：459 KB
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• 作者单位：Bashir Ahmad (1)
  Sotiris K. Ntouyas (1) (2)
  
  1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
  2. Department of Mathematics, University of Ioannina, 451 10, Ioannina, Greece
  
• 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

文摘

In this paper, we study a new class of Caputo type sequential fractional differential inclusions with nonlocal Riemann–Liouville fractional integral boundary conditions. The existence of solutions for the given problem is established for the cases of convex and non-convex multivalued maps by using standard fixed point theorems. The obtained results are well illustrated with the aid of examples. Keywords Fractional differential inclusions Sequential fractional derivative Integral boundary conditions Fixed point theorems