{"title":"Caputo-Fabrizio分数阶导数意义下酶动力学模型的存在唯一性解","authors":"G. K. Edessa","doi":"10.1155/2022/1345919","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2022-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional Derivative\",\"authors\":\"G. K. Edessa\",\"doi\":\"10.1155/2022/1345919\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":55967,\"journal\":{\"name\":\"International Journal of Differential Equations\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2022-11-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2022/1345919\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2022/1345919","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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 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.
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