JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (03): 73-79.doi: 10.6040/j.issn.1671-9352.0.2014.140

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Existence of positive solutions of the boundary value problem for a class of fractional differential equations with delay

ZHENG Chun-hua1, LIU Wen-bin2   

  1. 1. Basic Department, Shaanxi Polytechnic Institute, Xianyang 712000, Shaanxi, China;
    2. Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China
  • Received:2014-04-08 Revised:2014-09-26 Online:2015-03-20 Published:2015-03-13

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Abstract: A class of fractional differential equation with two-point boundary value problem and delay is studied. By using a fixed point theorem on cones and some analysis technique, some sufficient conditions on the existence of solutions for this boundary value problem are obtained,Some known results are extended and improved.

Key words: delay, two-point boundary value problem, fixed point theorem, cone, fractioal order differential equation

CLC Number: 

  • O175.8
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