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Nontrivial Solutions of Higher-Order Nonlinear Singular Fractional Differential Equations with Fractional Multi-point Boundary Conditions

  • Shengli Xie EMAIL logo and Yiming Xie
Published/Copyright: December 20, 2016

Abstract

This paper deals with the existence and multiplicity of nontrivial solutions of fractional multi-point boundary value problems for higher-order nonlinear singular fractional differential equations with sign-changing nonlinear term. The main tool used in the proof is topological degree theory. Some examples are given to illustrate our main results.

MSC 2010: 34B10; 34B16; 34B27; 45G10

Funding statement: Funding: The work was supported by Natural Science Foundation of Anhui Province and Anhui Provincial Education Department (1508085MA08, KJ2014A043), P. R. China.

Acknowledgements

The author would like to thank the referee(s) for their valuable suggestions to improve presentation of the paper.

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Received: 2016-4-18
Accepted: 2016-11-27
Published Online: 2016-12-20
Published in Print: 2017-2-1

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