Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics
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- 作者：Z. Vosikaa ; V.V. Mitićb ; c ; A. Vasića ; G. Lazović ; a ; glazovic@mas.bg.ac.rs" class="auth_mail" title="E-mail the corresponding author ; L. Matijaa ; Lj.M. Kocićb
- 关键词：Discrete fractional calculus ; Nonlinear systems ; kinetics
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：44
- 期：Complete
- 页码：373-389
- 全文大小：1175 K
文摘
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New model of Michaelis–Menten kinetic reaction is proposed and investigated.
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New fractional difference-differential calculus Caputo type is introduced.
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Multi-step generalized difference transformation method is proposed and presented.
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Discussed the assumptions under which mentioned fractional discrete time model is valid.
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Discussed conditions for its further development and experimental verification are described.