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Approximation of Fractional-Order Operators by Reyad El-Khazali; Iqbal M. Batiha; Shaher Momani is a book available to read on EtoBox.

What is Approximation of Fractional-Order Operators about?

In order to deal with some difficult problems in fractional-order systems, like computing analytical time responses such as unit impulse and step responses; some rational approximations for the fractional-order operators are presented with satisfying results in simulation and realization. In this chapter, several comparisons in the time response and Bode results between four well-known methods; Oustaloup's method, Matsuda's method, AbdelAty's method, and El-Khazali's method are made for the rational approximation of fractional-order operator (fractional Laplace operator). The various methods along with their advantages and limitations are described in this chapter. Simulation results are shown for different orders of the fractional operator. It has been shown in several numerical examples that the El-Khazali's method is very successful in comparison with Oustaloup's, Matsuda's, and AbdelAty's methods.

Author

Reyad El-Khazali; Iqbal M. Batiha; Shaher Momani

Publisher

Springer Singapore : Imprint : Springer

Published

2019

Language

EN

ISBN

9789811504310

Subjects

Mathematics, Stem