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Fractional Calculus for Scientists and Engineers

  • Manuel Duarte Ortigueira

Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 84)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Manuel Duarte Ortigueira
    Pages 1-3
  3. Manuel Duarte Ortigueira
    Pages 5-41
  4. Manuel Duarte Ortigueira
    Pages 43-69
  5. Manuel Duarte Ortigueira
    Pages 71-99
  6. Manuel Duarte Ortigueira
    Pages 101-121
  7. Manuel Duarte Ortigueira
    Pages 145-152

About this book

Introduction

In recent years fractional calculus has been rediscovered by scientists and engineers and applied in an increasing number of fields, such as electromagnetism, control engineering, and signal processing. The increase in the number of physical and engineering processes that are best described by fractional differential equations has motivated its study.

This book gives a practical overview of Fractional Calculus as it relates to Signal Processing.� It is designed to be accessible by Scientists and Engineers mainly interested in applications, who do not want to spend too much time and effort to access to the main Fractional Calculus features and tools.� Readers can benefit from the attempt to present a Fractional Calculus foundation based of the Gr�nwald-Letnikov derivative, because it exhibits great coherence allowing deduction from it the other derivatives, which appear as a consequence of the Gr�nwald-Letnikov derivative properties and not as a prescription.


Keywords

Fractional Calculus Fractional Derivative Fractional Signal Processing Linear Systems Quantum Computing

Authors and affiliations

  • Manuel Duarte Ortigueira
    • 1
  1. 1.Faculdade de Ciências/Tecnologia da UNL, Campus da FCT Quinta da TorreUNINOVA and DEECaparicaPortugal

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-0747-4
  • Copyright Information Springer Science+Business Media B.V. 2011
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering
  • Print ISBN 978-94-007-0746-7
  • Online ISBN 978-94-007-0747-4
  • Series Print ISSN 1876-1100
  • Series Online ISSN 1876-1119
  • Buy this book on publisher's site