Positive solutions of m-point multi-term fractional integral BVP involving time-delay for fractional differential equations

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• 作者：Kaihong Zhao (1)
  Ping Gong (1)
  
  1. Department of Applied Mathematics ; Kunming University of Science and Technology ; Kunming ; Yunnan ; 650093 ; China
  
• 关键词：34B10 ; 34B15 ; 34B18 ; 34B27 ; fractional differential equations ; multiple positive solutions ; integral boundary value conditions ; time ; delay
• 刊名：Boundary Value Problems
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,246 KB
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• 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1687-2770

文摘

In the paper, we establish sufficient conditions for the existence and multiplicity of positive solutions to a class of higher-order delayed nonlinear fractional differential equations with m-point multi-term fractional integral boundary conditions. The results are established by converting the problem into an equivalent integral equation and applying fixed point theorems of the cone expansion and compression of norm type. Our study improves the previous results in the literature. As an application, an example is also provided to illustrate our main results.