Existence and uniqueness results of fuzzy Hilfer fractional Langevin evolution equations (Q6566547)
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scientific article; zbMATH DE number 7875574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness results of fuzzy Hilfer fractional Langevin evolution equations |
scientific article; zbMATH DE number 7875574 |
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Existence and uniqueness results of fuzzy Hilfer fractional Langevin evolution equations (English)
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3 July 2024
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In this paper, the authors discuss a class of fuzzy Hilfer fractional Langevin evolution equations. By utilizing the Krasnoselskii and Banach fixed point theorems as well as (\(\alpha,\beta\)) resolvent operator, they obtain the existence and uniqueness of the solution to fuzzy Hilfer's fractional Langevin evolution equations. An example is given to illustrate the applicability of the derived results.
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Langevin evolution equations
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Hilfer fractional derivative
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Hukuhara differentiability
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Krasnoselskiis fixed point
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Banach fixed point
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