Existence of positive solutions for \(m\)-point boundary value problem for nonlinear fractional differential equation (Q554976)
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scientific article; zbMATH DE number 5930800
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of positive solutions for \(m\)-point boundary value problem for nonlinear fractional differential equation |
scientific article; zbMATH DE number 5930800 |
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Existence of positive solutions for \(m\)-point boundary value problem for nonlinear fractional differential equation (English)
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22 July 2011
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Summary: We investigate an \(m\)-point boundary value problem for nonlinear fractional differential equations. The associated Green function for the boundary value problem is given, and some useful properties of the Green function are obtained. By using the fixed-point theorems of cone expansion and compression of norm type and Leggett-Williams fixed-point theorem, the existence of multiple positive solutions is obtained.
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