Positive solutions for fractional differential equations with three-point multi-term fractional integral boundary conditions

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• 作者：Jessada Tariboon (11)
  Sotiris K Ntouyas (12)
  Weerawat Sudsutad (11)
  
• 关键词：fractional differential equations ; nonlocal boundary conditions ; positive solutions ; fixed point theorem
• 刊名：Advances in Difference Equations
• 出版年：2014
• 出版时间：December 2014
• 年：2014
• 卷：2014
• 期：1
• 全文大小：
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• 作者单位：Jessada Tariboon (11)
  Sotiris K Ntouyas (12)
  Weerawat Sudsutad (11)
  
  11. Department of Mathematics, Faculty of Applied Science, King Mongkut鈥檚 University of Technology North Bangkok, Bangkok, Thailand
  12. Department of Mathematics, University of Ioannina, Ioannina, 451 10, Greece
  
• ISSN：1687-1847

文摘

We are concerned with the existence of at least one, two or three positive solutions for the boundary value problem with three-point multi-term fractional integral boundary conditions: where is the standard Riemann-Liouville fractional derivative. Our analysis relies on the Krasnoselskii fixed point theorem and the Leggett-Williams fixed point theorem. Some examples are also given to illustrate the main results. MSC: 26A33, 34A08, 34B18.