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**Existence of solutions for a nonlocal fractional boundary value problem.**
*(English)*
Zbl 1397.34021

Summary: We study a nonlinear fractional boundary value problem with nonlocal boundary conditions. An associated Green’s function is constructed as a series of functions by the perturbation approach. Criteria for the existence of solutions are obtained based upon it.

### MSC:

34A08 | Fractional ordinary differential equations |

34B15 | Nonlinear boundary value problems for ordinary differential equations |

34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |

34B27 | Green’s functions for ordinary differential equations |

34E10 | Perturbations, asymptotics of solutions to ordinary differential equations |

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\textit{Z. Gao} and \textit{M. Wang}, Rocky Mt. J. Math. 48, No. 3, 831--843 (2018; Zbl 1397.34021)

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