On a new definition of fractional variable-order derivative
作者： Dominik Sierociuk , Wiktor Malesza , Michal Macias
DOI: 10.1109/CARPATHIANCC.2013.6560566
关键词: Derivative 、 Time-scale calculus 、 Numerical analysis 、 Scheme (programming language) 、 Order (group theory) 、 Fractional calculus 、 Variable (mathematics) 、 Mathematical analysis 、 Applied mathematics 、 Mathematics 、 Numerical stability
摘要: In this paper, a new definition of fractional variable-order derivative is proposed, derived, and analyzed. It based on different numerical scheme traditional Grunwald-Letnikow definition. order to illustrate the differences between proposed known definitions, simulations will be presented. an analog model corresponding also Moreover, obtained experimental results compared with results.
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