Journal of Guangxi Normal University(Natural Science Edition) ›› 2017, Vol. 35 ›› Issue (3): 75-82.doi: 10.16088/j.issn.1001-6600.2017.03.009

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Existence of Three Positive Solutions for Fractional Differential Equation ofBoundary Value Problem with p-Laplacian Operator and Delay

YAN Rongjun, WEI Yuming*, FENG Chunhua   

  1. College of Mathematics and Statistics, Guangxi Normal University,Guilin Guangxi 541004, China
  • Online:2017-07-25 Published:2018-07-25

Abstract: In this paper,the existence of positive solutions for fractional differential equation boundary value problems with p-Laplacian operator and delay are considered. By using Avery-Perterson fixed point theorem,under certain growth conditions, the existence of at least three positive solutions for the above boundary value problem are studied. Not only are some new results obtained,but also some known results are generalized and improved.

Key words: fractional differential equation, delay, boundary value problem, p-Laplacian operator, Avery-Peterson fixed point theorem

CLC Number: 

  • O175.8
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