Title :
On a new definition of fractional variable-order derivative
Author :
Sierociuk, Dominik ; Malesza, Wiktor ; Macias, Michal
Author_Institution :
Inst. of Control & Ind. Electron., Warsaw Univ. of Technol., Warsaw, Poland
Abstract :
In this paper, a new definition of fractional variable-order derivative is proposed, derived, and analyzed. It is based on a different numerical scheme of traditional Grunwald-Letnikow definition. In order to illustrate the differences between proposed and known definitions, the numerical simulations will be presented. In the paper, an analog model corresponding to the proposed definition will be also presented. Moreover, obtained experimental results will be compared with the numerical results.
Keywords :
differentiation; numerical analysis; Grunwald Letnikow definition; analog model; fractional variable order derivative; numerical scheme; numerical simulation; Calculus; Educational institutions; Electronic mail; Equations; Fractional calculus; Industrial electronics; Numerical models; analog modeling; fractional calculus; variable-order derivative;
Conference_Titel :
Carpathian Control Conference (ICCC), 2013 14th International
Conference_Location :
Rytro
Print_ISBN :
978-1-4673-4488-3
DOI :
10.1109/CarpathianCC.2013.6560566
