Existence and nonexistence of positive solutions for fractional three-point boundary value problems with a parameter (Q1733848)
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scientific article; zbMATH DE number 7040454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and nonexistence of positive solutions for fractional three-point boundary value problems with a parameter |
scientific article; zbMATH DE number 7040454 |
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Existence and nonexistence of positive solutions for fractional three-point boundary value problems with a parameter (English)
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21 March 2019
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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.
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positive solutions
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\(p\)-Laplacian fractional differential equation
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Green's function
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Guo-Krasnosel'skii fixed point
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