Existence of solutions for fractional multi-point boundary value problems at resonance with three-dimensional kernels.

*(English)*Zbl 1445.34032Summary: In this paper, by using Mawhin’s continuation theorem, we investigate the existence of solutions for a class of fractional differential equations with multi-point boundary value problems at resonance, and the dimension of the kernel for a fractional differential operator is three. An example is given to show our main result.

##### MSC:

34A08 | Fractional ordinary differential equations and fractional differential inclusions |

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

##### Keywords:

fractional differential equation; multi-point boundary value problem; resonance; Mawhin’s continuation theorem
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\textit{W. Zhang} and \textit{W. Liu}, Adv. Difference Equ. 2018, Paper No. 15, 19 p. (2018; Zbl 1445.34032)

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##### References:

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