Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (4): 775-781.

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Two Positive Solutions of Boundary Value Problem for a Class ofCoupled System of Nonlinear Fractional Differential Equations

PENG Zhongqi1, LI Yuan1, XUE Yimin2   

  1. 1. School of Science, Shenyang University of Technology, Shenyang 110870, China; 
    2. School of Mathematics and Physical Science, Xuzhou Institute of Technology, Xuzhou 221018, Jiangsu Province, China
  • Received:2019-11-13 Online:2020-07-26 Published:2020-07-16
  • Contact: XUE Yimin E-mail:xueym@xzit.edu.cn

Abstract: We considered the boundary value problem for a class of coupled system of nonlinear Caputo fractional differential equations, and proved the existence of two positive solutions of the coupled system by using properties of Green’s function and the fixed point theorem of GuoKrasnosel’skii’s.

Key words: fractional differential equation, coupled system, boundary value problem, fixed point theorem

CLC Number: 

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