JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (12): 48-57.doi: 10.6040/j.issn.1671-9352.0.2017.380

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Multiple positive solutions of a system of high order nonlinear fractional differential equations

FENG Hai-xing1, ZHAI Cheng-bo2*   

  1. 1. College of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030031, Shanxi, China;
    2. School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China
  • Received:2017-07-31 Online:2017-12-20 Published:2017-12-22

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Abstract: The existence of multiple positive solutions for a system of high-order nonlinear fractional differential equations is studied. Two or three positive solutions are obtained for the system by using Leggett-Williams fixed point theorem and Krasnoselskiion cone.

Key words: integral boundary value conditions, positive solution, Leggett-Williams fixed point theorem, the system of fractional order differential equation

CLC Number: 

  • O177.91
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