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Volume 8, Number 3, 2018, Pages 938-953                                                                DOI:10.11948/2018.938
Nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations
Shengli Xie,Yiming Xie
Keywords:Singular fractional differential equation, nontrivial solution, topological degree, Riemann-Liouville fractional derivative.
Abstract:
      This paper deals with the existence and multiplicity of nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations with sign-changing nonlinear term. The main tool used in the proof is topological degree theory. Some examples explain that our results cannot be obtained by the method of cone theory.
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