Fractional Dynamical Systems: Methods, Algorithms and Applications: 402 (Studies in Systems, Decision and Control, 402) [Hardcover] [Jan 05, 2022] Kulczycki, Piotr; Korbicz, Józef and Kacprzyk, Janusz

ISBN 10: 3030899713 / ISBN 13: 9783030899714

Published by Springer, 2022

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Bibliographic Details

• Title: Fractional Dynamical Systems: Methods, Algorithms and Applications: 402 (Studies in Systems, Decision and Control, 402) [Hardcover] [Jan 05, 2022] Kulczycki, Piotr; Korbicz, Józef and Kacprzyk, Janusz
• Publisher: Springer
• Publication Date: 2022
• Language: English
• ISBN 10: 3030899713
• ISBN 13: 9783030899714
• Binding: Hardcover
• Condition: New

About this title

Synopsis

This book presents a wide and comprehensive spectrum of issues and problems related to fractional-order dynamical systems. It is meant to be a full-fledge, comprehensive presentation of many aspects related to the broadly perceived fractional-order dynamical systems which constitute an extension of the traditional integer-order-type descriptions. This implies far-reaching consequences, both analytic and algorithmic, because―in general―properties of the traditional integer-order systems cannot be directly extended by a straightforward generalization to fractional-order systems, modeled by fractional-order differential equations involving derivatives of an non-integer order. This can be useful for describing and analyzing, for instance, anomalies in the behavior of various systems, chaotic behavior, etc. The book contains both analytic contributions with state-of-the-art and theoretical foundations, algorithmic implementation of tools and techniques, and―finally―some examples of relevantand successful practical applications.