Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics
The multistep differential transform method is first employed to solve a time-fractional enzyme kinetics. This enzyme-substrate reaction is formed by a system of nonlinear ordinary differential equations of fractional order. The fractional derivatives are described in the Caputo sense. A comparativ...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/592938 |
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| author | Ahmed Alawneh |
| author_facet | Ahmed Alawneh |
| author_sort | Ahmed Alawneh |
| collection | DOAJ |
| description | The multistep differential transform method is first employed to solve a time-fractional enzyme kinetics. This enzyme-substrate reaction is formed by a system of nonlinear ordinary differential equations of fractional order. The fractional derivatives are described in the Caputo sense. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The results demonstrate reliability and efficiency of the algorithm developed. |
| format | Article |
| id | doaj-art-46f430324a7b4b48b187c0a3b18480ce |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-46f430324a7b4b48b187c0a3b18480ce2025-02-03T06:44:24ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/592938592938Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme KineticsAhmed Alawneh0Department of Science and Humanities, Princess Sumaya University for Technology, Amman 11941, JordanThe multistep differential transform method is first employed to solve a time-fractional enzyme kinetics. This enzyme-substrate reaction is formed by a system of nonlinear ordinary differential equations of fractional order. The fractional derivatives are described in the Caputo sense. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The results demonstrate reliability and efficiency of the algorithm developed.http://dx.doi.org/10.1155/2013/592938 |
| spellingShingle | Ahmed Alawneh Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics Discrete Dynamics in Nature and Society |
| title | Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics |
| title_full | Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics |
| title_fullStr | Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics |
| title_full_unstemmed | Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics |
| title_short | Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics |
| title_sort | application of the multistep generalized differential transform method to solve a time fractional enzyme kinetics |
| url | http://dx.doi.org/10.1155/2013/592938 |
| work_keys_str_mv | AT ahmedalawneh applicationofthemultistepgeneralizeddifferentialtransformmethodtosolveatimefractionalenzymekinetics |