J4 ›› 2012, Vol. 25 ›› Issue (3): 34-38.doi: 10.3976/j.issn.1002-4026.2012.03.007

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Existence and uniqueness of the positive solutions of boundary value of a class of singular fractional-order differential equations

 YUAN Shao-Yan, LIU Yan-Sheng   

  1. School of Mathematical Sciences, Shandong Normal University, Jinan 250014, China
  • Received:2012-04-11 Online:2012-06-20 Published:2012-06-20

Abstract:

      This paper employs the theory of mixed monotone operator to address the existence and uniqueness of the positive solutions of boundary value of a class of singular fractionalorder differential equations.

Key words: positive solution, Caputo derivative, mixed monotone oproperty, singularity

CLC Number: 

  • 0175.14