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Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional Derivative

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  • Geremew Kenassa Edessa
  • Peiguang Wang

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.

Suggested Citation

  • Geremew Kenassa Edessa & Peiguang Wang, 2022. "Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional Derivative," International Journal of Differential Equations, Hindawi, vol. 2022, pages 1-13, November.
    • Handle: RePEc:hin:jnijde:1345919
    DOI: 10.1155/2022/1345919
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