Existence and nonexistence of positive solutions for fractional-order two-point boundary value problems

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作者
Yongping Sun
Xiaoping Zhang
机构
[1] Zhejiang University of Media and Communications,College of Electron and Information
关键词
positive solution; existence and nonexistence; fractional differential equations; boundary value problems; fixed point theorem;
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摘要
The purpose of this paper is to establish some results on the existence and nonexistence of positive solutions for a type of nonlinear fractional-order two-point boundary value problems. The main tool is a fixed point theorem of the cone expansion and compression of functional type due to Avery et al. Some examples are presented to illustrate the availability of the main results.
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