Nonexpansive fixed point technique used to solve boundary value problems for fractional differential equations (Q2919589)
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scientific article; zbMATH DE number 6090209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonexpansive fixed point technique used to solve boundary value problems for fractional differential equations |
scientific article; zbMATH DE number 6090209 |
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4 October 2012
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fractional differential equation
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nonlinear boundary value problem
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fixed point
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nonexpansive map
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0.9272284
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0.9186169
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0.9181613
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0.91763103
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0.91662693
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0.9154688
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Nonexpansive fixed point technique used to solve boundary value problems for fractional differential equations (English)
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The authors present an existence result for fractional differential equations with integral nonlinear two-point boundary value conditions. Lipschitz assumptions guarantee that the corresponding operator is self mapping and nonexpansive on a compact convex set. The result follows from Schauder's fixed point theorem. The nonexpansivity also guarantees the convergence of the Krasnosel'skii-Mann iteration procedure.
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