JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (05): 68-73.doi: 10.6040/j.issn.1671-9352.0.2014.317

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Existence of nontrivial solutions for boundary value problems of fractional differential equations

MA Yan1,2, ZHANG Ke-yu2   

  1. 1. Department of Mathematics, Qilu Normal University, Jinan 250013, Shandong, China;
    2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2014-07-08 Online:2015-05-20 Published:2015-05-29

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Abstract: By applying the theory of Leray-Schauder degree, the existence of nontrivial solutions for the boundary value problems of fractional differential equations 

is considered under some conditions concerning the first eigenvalue corresponding to the relevant linear operator.Here α∈(2,3]is a real number, D0+α is the standard Riemann-Liouville fractional derivative of order α.

Key words: fractional boundary value problem, Leray-Schauder degree, nontrivial solution

CLC Number: 

  • O175.8
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