Non-Integer Order Calculus and its Applications

9th International Conference on Non-Integer Order Calculus and Its Applications, Łódź, Poland

  • Piotr Ostalczyk
  • Dominik Sankowski
  • Jacek Nowakowski
Conference proceedings RRNR 2017

Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 496)

Table of contents

  1. Front Matter
    Pages i-x
  2. Mathematical Foundations

    1. Front Matter
      Pages 1-1
    2. Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
      Pages 14-27
    3. Adam Domański, Joanna Domańska, Tadeusz Czachórski, Jerzy Klamka, Jakub Szyguła
      Pages 36-48
    4. Aleksandra Kawala-Janik, Waldemar Bauer, Amir Al-Bakri, Chase Haddix, Rajamanickam Yuvaraj, Katarzyna Cichon et al.
      Pages 63-73
    5. Krzysztof J. Latawiec, Rafał Stanisławski, Marian Łukaniszyn, Marek Rydel, Bogusław R. Szkuta
      Pages 74-83
    6. Wiktor Malesza, Dominik Sierociuk
      Pages 92-101
    7. Krzysztof Oprzedkiewicz, Edyta Gawin, Wojciech Mitkowski
      Pages 102-112
    8. Krzysztof Oprzedkiewicz
      Pages 113-125
  3. Modeling

  4. Fractional Order System Analysis

    1. Front Matter
      Pages 181-181

About these proceedings

Introduction

This book focuses on fractional calculus, presenting novel advances in both the theory and applications of non-integer order systems. At the end of the twentieth century it was predicted that it would be the calculus of the twenty-first century, and that prophecy is confirmed year after year. Now this mathematical tool is successfully used in a variety of research areas, like engineering (e.g. electrical, mechanical, chemical), dynamical systems modeling, analysis and synthesis (e.g technical, biological, economical) as well as in multidisciplinary areas (e.g. biochemistry, electrochemistry).
As well as the mathematical foundations the book concentrates on the technical applications of continuous-time and discrete-time fractional calculus, investigating the identification, analysis and control of electrical circuits and dynamical systems. It also presents the latest results.
Although some scientific centers and scientists are skeptical and actively criticize the applicability of fractional calculus, it is worth breaking through the scientific and technological walls. Because the “fractional community” is growing rapidly there is a pressing need for the exchange of scientific results. 
The book includes papers presented at the 9th International Conference on Non-integer Order Calculus and Its Applications and is divided into three parts:
•         Mathematical foundations
•         Fractional systems analysis and synthesis
•         System modeling
Seven papers discuss the mathematical foundations, twelve papers address fractional order analysis and synthesis and three focus on dynamical system modeling by the fractional order differential and difference equations. It is a useful resource for fractional calculus scientific community.

Keywords

Electrical Engineering Non-Integer Systems Fractional Systems Non-Integer Order Calculus Non-Integer Order Systems Fractional Difference Fractional Deńvative Caputo Derivative Grunwald-Letnikov Derivative Riemann-Liouville Derivative Fractional Calculus Discrete Fractional Calculus Fractional Order Transfer Function Fractional Order Regulators Characteristic Exponents Fractional Positive Systems Controllability Controllability Stability

Editors and affiliations

  • Piotr Ostalczyk
    • 1
  • Dominik Sankowski
    • 2
  • Jacek Nowakowski
    • 3
  1. 1.Institute of Applied Computer ScienceLodz University of TechnologyLodzPoland
  2. 2.Institute of Applied Computer ScienceLodz University of TechnologyLodzPoland
  3. 3.Institute of Applied Computer ScienceLodz University of TechnologyLodzPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-78458-8
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-78457-1
  • Online ISBN 978-3-319-78458-8
  • Series Print ISSN 1876-1100
  • Series Online ISSN 1876-1119
  • About this book
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