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Existence of Three Positive Solutions to Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equation

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Abstract

In this paper, we consider the existence of three positive solutions to three-point boundary value problem of nonlinear fractional differential equation. By using the Leggett–Williams fixed-point theorem on a convex cone, the multiplicity results of positive solutions to three-point boundary value problem of nonlinear fractional differential equation are obtained. In addition, an example is included to demonstrate the main result.

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Authors and Affiliations

  1. School of Mathematics and Computational Science, Xiangtan University, Xiangtan, China

    Anping Chen

  2. Department of Mathematics, Xiangnan University, Chenzhou, China

    Anping Chen & Yuansheng Tian

Authors
  1. Anping Chen
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  2. Yuansheng Tian
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Correspondence to Anping Chen.

Additional information

This work was supported by the Natural Science Foundation of China (10971173), the Natural Science Foundation of Hunan Province (10JJ3096), the Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province, and the Construct Program of the Key Discipline in Hunan Province.

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Chen, A., Tian, Y. Existence of Three Positive Solutions to Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equation. Differ Equ Dyn Syst 18, 327–339 (2010). https://doi.org/10.1007/s12591-010-0063-1

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  • DOI: https://doi.org/10.1007/s12591-010-0063-1

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