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Triple Positive Solutions for a Class of Fractional Boundary Value Problem System
  
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KeyWord:Fractional derivative; Boundary value problems; Fixed point theorem; Positive solutions
Author NameAffiliation
Zhanbing Bai College of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao, Shandong 266590, China 
Dongmei Shi College of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao, Shandong 266590, China 
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Abstract:
      In this paper, the solvability for the following fractional boundary value problem system

is studied, where are continuous, are the Caputo fractional derivatives, and are the Riemann-Liouville fractional derivatives. The fixed point theorem is used to prove that there are three positive solutions to problems.