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  • © 2019

Solved Exercises in Fractional Calculus

  • Presents solved exercises in each chapter
  • Introduces the concepts of fractional integral and derivative
  • Recalls the integral transform methodology

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 240)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xviii
  2. A Bit of History

    • Edmundo Capelas de Oliveira
    Pages 1-15
  3. Special Functions

    • Edmundo Capelas de Oliveira
    Pages 17-67
  4. Mittag-Leffler Functions

    • Edmundo Capelas de Oliveira
    Pages 69-113
  5. Integral Transforms

    • Edmundo Capelas de Oliveira
    Pages 115-167
  6. Fractional Derivatives

    • Edmundo Capelas de Oliveira
    Pages 169-222
  7. Applications and Add-ons

    • Edmundo Capelas de Oliveira
    Pages 223-307
  8. Back Matter

    Pages 309-321

About this book

This book contains a brief historical introduction and state of the art in fractional calculus. The author introduces some of the so-called special functions, in particular, those which will be directly involved in calculations. The concepts of fractional integral and fractional derivative are also presented. Each chapter, except for the first one, contains a list of exercises containing suggestions for solving them and at last the resolution itself. At the end of those chapters there is a list of complementary exercises. The last chapter presents several applications of fractional calculus.

Authors and Affiliations

  • IMECC, Universidade Estadual de Campinas, Campinas, Brazil

    Edmundo Capelas de Oliveira

About the author

Edmundo Capelas de Oliveira is a Professor and Researcher at the Department of Applied Mathematics at IMECC, Unicamp, Brazil. He has won the First Award for Undergraduate Teaching Incentive for outstanding teaching skills at undergraduate level in 2012. 

Bibliographic Information

  • Book Title: Solved Exercises in Fractional Calculus

  • Authors: Edmundo Capelas de Oliveira

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-030-20524-9

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-20523-2Published: 17 June 2019

  • Softcover ISBN: 978-3-030-20526-3Published: 14 August 2020

  • eBook ISBN: 978-3-030-20524-9Published: 31 May 2019

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: XVIII, 321

  • Number of Illustrations: 15 b/w illustrations

  • Topics: Mathematical and Computational Engineering, Integral Transforms, Operational Calculus, Calculus

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access