JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (2): 71-78.doi: 10.6040/j.issn.1671-9352.0.2017.464

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Existence of positive solutions for fractional differential system with coupled integral boundary conditions

QI Ting-ting1, ZHANG Zhen-fu2, LIU Yan-sheng1   

  1. 1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, Shandong, China;
    2. Taian Technician Institute, Taian 271000, Shandong, China
  • Published:2019-02-25

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Abstract: By defining appropriate Banach space and norm, giving the appropriate operators, using fixed-point theorem on cone and fractional calculus, the existence of positive solutions for fractional differential system with coupled integral boundary conditions is investigagted. An example is given to illustrate the application of the main result.

Key words: fixed-point theorem on cone, coupled integral boundary conditions, fractional differential system

CLC Number: 

  • O175.8
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