Existence of a positive solution to a class of fractional differential equations (Q988720)
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scientific article; zbMATH DE number 5772536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of a positive solution to a class of fractional differential equations |
scientific article; zbMATH DE number 5772536 |
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Existence of a positive solution to a class of fractional differential equations (English)
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18 August 2010
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The author considers a class of fractional boundary value problem involving the Riemann-Liouville derivative. The main contribution of the author is to improve certain recent results by showing that the Green function associated to the mentioned problem satisfies, among other properties, a Harnack-like inequality. Also, the author shows that the mentioned boundary problem has a positive solution under standard assumptions on the nonlinearity part of the fractional differential equation.
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fractional calculus
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fractional boundary value problem
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Green's function
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fixed point theorem in cones
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Riemann-Liouville derivative
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