Volume 7, Number 1, 2017, Pages 57-66 DOI:10.11948/2017004 |
On a fractional boundary value problem with a perturbation term |
John R. Graef,Lingju Kong,Qingkai Kong,Min Wang |
Keywords:Fractional derivative, boundary value problem, Dirichlet condition. |
Abstract: |
In this paper, the authors study a nonlinear fractional boundary value problem of order $\al$ with $2<\al<3$. The associated Green's function is derived as a series of functions. Criteria for the existence and uniqueness of positive solutions are then established based on it. |
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