Existence and Nonexistence of Positive Solutions for Fractional Three-Point Boundary Value Problems with a Parameter

In this work, we investigate the existence and nonexistence of positive solutions for p-Laplacian fractional differential equation with a parameter. On the basis of the properties of Green’s function and Guo-Krasnosel’skii fixed point theorem on cones, the existence and nonexistence of positive solu...

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Bibliographic Details
Main Authors: Yunhong Li, Weihua Jiang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/9237856
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Summary:In this work, we investigate the existence and nonexistence of positive solutions for p-Laplacian fractional differential equation with a parameter. On the basis of the properties of Green’s function and Guo-Krasnosel’skii fixed point theorem on cones, the existence and nonexistence of positive solutions are obtained for the boundary value problems. We also give some examples to illustrate the effectiveness of our main results.
ISSN:2314-8896
2314-8888