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The existence of positive solutions for the singular fractional differential equation

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Abstract

We investigate the existence of at least three positive solutions to a singular boundary value problem of fractional differential equation with first-order derivative. Our analysis relies on the Avery-Peterson fixed point theorem in a cone. An example is given to illustrate our results.

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Acknowledgements

The authors are grateful to anonymous referees for their constructive comments and suggestions which led to improvement of the original manuscript.

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Authors and Affiliations

  1. College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, Hebei, P.R. China

    Weihua Jiang, Xiaoqin Huang, Weiwei Guo & Qiang Zhang

Authors
  1. Weihua Jiang
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  2. Xiaoqin Huang
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  3. Weiwei Guo
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  4. Qiang Zhang
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Corresponding author

Correspondence to Weihua Jiang.

Additional information

This work is supported by the Natural Science Foundation of China (11171088), the Doctoral Program Foundation of Hebei University of Science and Technology (QD201020) and the Foundation of Hebei University of Science and Technology (XL201136).

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Jiang, W., Huang, X., Guo, W. et al. The existence of positive solutions for the singular fractional differential equation. J. Appl. Math. Comput. 41, 171–182 (2013). https://doi.org/10.1007/s12190-012-0603-7

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  • DOI: https://doi.org/10.1007/s12190-012-0603-7

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