Journal of Jilin University Science Edition

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Existence of Positive Solutions for a MultiorderNonlinear Fractional Differential System

DAI Qun1, LI Huilai2, SUN Yan1, GAO Ruimei1   

  1. 1. School of Science, Changchun University of Science and Technology, Changchun 130022, China;2. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2017-06-01 Online:2018-01-26 Published:2018-01-24
  • Contact: GAO Ruimei E-mail:gaorm135@nenu.edu.cn

Abstract: Using the fixed point theorems of increasing operator and the fixed point theorem of cone expansion and cone compression, we studied the positive solutions of a class of  multi-order fractional differential equations, and obtained the existence of positive solutions of the equations.

Key words: nonlinear system, Caputo fractional derivative, fixed point theorem, positive solution

CLC Number: 

  • O175.1