Fractional equations and a theorem of Brouwer-Schauder type (Q2871101)
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scientific article; zbMATH DE number 6248838
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractional equations and a theorem of Brouwer-Schauder type |
scientific article; zbMATH DE number 6248838 |
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22 January 2014
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fixed points
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fractional differential equations
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Schauder's theorem
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Brouwer's theorem
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Fractional equations and a theorem of Brouwer-Schauder type (English)
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The usefulness of the fixed point methods for applications has increased enormously due to the development of sophisticated techniques for computing fixed points, making fixed point theory one of the major tools of the applied mathematicians. In this paper, the author reduces the conditions of Schauder's theorem in function spaces with domains on an infinite interval to the conditions of the far simpler Brouwer's theorem. The author's result offers a significant simplification for a large class of problems such as fractional equations and other types of differential equations.
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