Some fractional-order one-dimensional semi-linear problems under nonlocal integral boundary conditions

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• 作者：Bashir Ahmad ; Sotiris K. Ntouyas
• 关键词：Fractional differential equations ; Nonlocal conditions ; Integral boundary conditions ; Fixed point theorems
• 刊名：Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：110
• 期：1
• 页码：159-172
• 全文大小：435 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
• 出版者：Springer Milan
• ISSN：1579-1505

文摘

In this paper, we study a new class of one-dimensional semi-linear problems of fractional differential equations supplemented with nonlocal flux type integral boundary conditions. New existence and uniqueness results are obtained for the given problem by using some standard fixed point theorems. The obtained results are illustrated with the aid of examples.