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Existence of positive solutions to a boundary value problem for a delayed singular high order fractional differential equation with sign-changing nonlinearity. (English) Zbl 1465.34088

Summary: 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.

MSC:

34K37 Functional-differential equations with fractional derivatives
34K10 Boundary value problems for functional-differential equations
47N20 Applications of operator theory to differential and integral equations
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