JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (04): 42-48.doi: 10.6040/j.issn.1671-9352.0.2014.157

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Existence and uniqueness of solutions for nonlinear fractional four-point boundary value problems

CHEN Qiang, JIA Mei, ZHANG Hai-bin   

  1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2014-04-14 Revised:2014-09-26 Online:2015-04-20 Published:2015-04-17

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Abstract: This paper investigates existence and uniqueness of solutions for a type of four-point boundary value problems with fractional order differential equation.By using the Schauder fixed point theorem and the Banach contraction principle,we obtain the sufficient conditions of the existence and uniqueness of solutions for the nonlinear fractional four-point boundary value problems.

Key words: fixed point theorem, existence and uniqueness, four-point boundary value problems, fractional order differential equation

CLC Number: 

  • O175.8
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