| Volume 10, Number 3, 2020, Pages 1073-1093 DOI：10.11948/20190190 |
| Existence of positive solutions to a boundary value problem for a delayed singular high order fractional differential equation with sign-changing nonlinearity |
| Dongyue Liu,Kemei Zhang |
| Keywords:Positive solution, fractional differential equation, delay, cone expansion and cone compression fixed point theorem, changing sign nonlinearity. |
| Abstract: |
| In this paper, we discuss the existence of positive solutions to the boundary value problem for a high order fractional differential equation with delay and singularities including changing sign nonlinearity. By using the properties of the Green function, Guo-krasnosel""skii fixed point theorem, Leray-Schauder""s nonlinear alternative theorem, some existence results of positive solutions are obtained, respectively. |
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