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**The existence of positive solution to three-point singular boundary value problem of fractional differential equation.**
*(English)*
Zbl 1190.34004

The authors investigate the existence of positive solutions to nonlinear fractional differential equations satisfying a three-point boundary value problem. Following preliminaries which provide definitions, basic results, and background, the authors present their main result which provides conditions for the existence of a positive solution. The paper concludes with an example.

Reviewer: Neville Ford (Chester)

### MSC:

34A08 | Fractional ordinary differential equations |

34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |

34B16 | Singular nonlinear boundary value problems for ordinary differential equations |

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\textit{Y. Tian} and \textit{A. Chen}, Abstr. Appl. Anal. 2009, Article ID 314656, 18 p. (2009; Zbl 1190.34004)

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