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Multiple monotone positive solutions of integral BVPs for a higher-order fractional differential equation with monotone homomorphism
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  • 作者：Kaihong Zhao ; Juqing Liu
  • 关键词：34B15 ; 34B18 ; 34B27 ; integral boundary value problems ; fractional differential equation ; monotone positive solutions ; monotone homomorphism ; fixed point theorem
  • 刊名：Advances in Difference Equations
  • 出版年：2016
  • 出版时间：December 2016
  • 年：2016
  • 卷：2016
  • 期：1
  • 全文大小：1,609 KB
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  • 作者单位：Kaihong Zhao (1)
    Juqing Liu (2)

    1. Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan, 650093, China
    2. Department of Mathematics, Yuxi Normal University, Yuxi, Yunnan, 653100, China
  • 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
  • 出版者：Springer International Publishing
  • ISSN：1687-1847
文摘
This paper is concerned with the integral boundary value problems of higher-order fractional differential equation with. In the sense of a monotone homomorphism, some sufficient criteria are established to guarantee the existence of at least two monotone positive solutions by employing the fixed point theorem of cone expansion and compression of functional type proposed by Avery, Henderson and O’Regan. As applications, some examples are provided to illustrate the validity of our main results. Keywords integral boundary value problems fractional differential equation monotone positive solutions monotone homomorphism fixed point theorem

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