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Discrete Fractional Calculus and Fractional Difference Equations

  • Book
  • © 2022

Overview

Authors:
  1. Rui A. C. Ferreira

    1. Group of Mathematical Physics, University of Lisbon, Lisbon, Portugal

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Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

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About this book

This brief aims to merge the theories of fractional calculus and discrete calculus in a concise but comprehensive manner. It is designed for graduate students, but will be useful for any researcher interested in the theory of discrete fractional calculus and fractional difference equations.

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Discrete Calculus

    • Rui A. C. Ferreira
    Pages 1-14

  3. Discrete Fractional Calculus

    • Rui A. C. Ferreira
    Pages 15-39

  4. Fractional Difference Equations

    • Rui A. C. Ferreira
    Pages 41-70

  5. Calculus of Variations

    • Rui A. C. Ferreira
    Pages 71-81

  6. Back Matter

    Pages 83-88
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Reviews

“It serves as a study guide for graduate students in the exciting, rather new, area of discrete fractional calculus, giving students plenty of ideas on how to improve and apply the presented inequalities. It also serves as a reference book for researchers working in the area of discrete fractional calculus … . This book will be of utmost interest to any researcher studying discrete fractional calculus.” (Churong Chen, Mathematical Reviews, April, 2023)




“The book is well-written and the concepts used are sufficiently motivated so that readers unfamiliar with the topic will find easy access to it. … Advanced undergraduate and beginning graduate students will find the book quite accessible while researchers in fractional calculus mightuse it as a source of references and inspiration for further research.” (Peter Massopust, zbMATH 1492.39001, 2022)

Authors and Affiliations

  • Group of Mathematical Physics, University of Lisbon, Lisbon, Portugal

    Rui A. C. Ferreira

Bibliographic Information

  • Book Title: Discrete Fractional Calculus and Fractional Difference Equations

  • Authors: Rui A. C. Ferreira

  • Series Title: SpringerBriefs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-92724-0

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Softcover ISBN: 978-3-030-92723-3Published: 15 March 2022

  • eBook ISBN: 978-3-030-92724-0Published: 14 March 2022

  • Series ISSN: 2191-8198

  • Series E-ISSN: 2191-8201

  • Edition Number: 1

  • Number of Pages: XI, 88

  • Number of Illustrations: 1 b/w illustrations, 3 illustrations in colour

  • Topics: Difference and Functional Equations, Optimization

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