Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional Derivative
In this paper, a model of the rates of enzyme-catalyzed chemical reactions in the sense of Caputo–Fabrizio a fractional derivative was investigated. Its existence and uniqueness as a solution of the model was proved by setting different criteria. An iterative numerical scheme was provided to support...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2022/1345919 |
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| _version_ | 1832552762799292416 |
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| author | Geremew Kenassa Edessa |
| author_facet | Geremew Kenassa Edessa |
| author_sort | Geremew Kenassa Edessa |
| collection | DOAJ |
| description | In this paper, a model of the rates of enzyme-catalyzed chemical reactions in the sense of Caputo–Fabrizio a fractional derivative was investigated. Its existence and uniqueness as a solution of the model was proved by setting different criteria. An iterative numerical scheme was provided to support the findings. In order to verify the applicability of the result, numerical simulations using the MATLAB software package that confirms the analytical result was lucidly shown. |
| format | Article |
| id | doaj-art-3581b8fdc566428cab4b96ee57caee67 |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-3581b8fdc566428cab4b96ee57caee672025-02-03T05:57:54ZengWileyInternational Journal of Differential Equations1687-96512022-01-01202210.1155/2022/1345919Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional DerivativeGeremew Kenassa Edessa0College of Natural and Computational SciencesIn this paper, a model of the rates of enzyme-catalyzed chemical reactions in the sense of Caputo–Fabrizio a fractional derivative was investigated. Its existence and uniqueness as a solution of the model was proved by setting different criteria. An iterative numerical scheme was provided to support the findings. In order to verify the applicability of the result, numerical simulations using the MATLAB software package that confirms the analytical result was lucidly shown.http://dx.doi.org/10.1155/2022/1345919 |
| spellingShingle | Geremew Kenassa Edessa Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional Derivative International Journal of Differential Equations |
| title | Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional Derivative |
| title_full | Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional Derivative |
| title_fullStr | Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional Derivative |
| title_full_unstemmed | Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional Derivative |
| title_short | Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional Derivative |
| title_sort | existence and uniqueness solution of the model of enzyme kinetics in the sense of caputo fabrizio fractional derivative |
| url | http://dx.doi.org/10.1155/2022/1345919 |
| work_keys_str_mv | AT geremewkenassaedessa existenceanduniquenesssolutionofthemodelofenzymekineticsinthesenseofcaputofabriziofractionalderivative |