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Solved Exercises in Fractional Calculus

  • Edmundo┬áCapelas de Oliveira
Textbook

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

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Edmundo Capelas de Oliveira
    Pages 1-15
  3. Edmundo Capelas de Oliveira
    Pages 17-67
  4. Edmundo Capelas de Oliveira
    Pages 69-113
  5. Edmundo Capelas de Oliveira
    Pages 115-167
  6. Edmundo Capelas de Oliveira
    Pages 169-222
  7. Edmundo Capelas de Oliveira
    Pages 223-307
  8. Back Matter
    Pages 309-321

About this book

Introduction

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.

Keywords

Fractional calculus Solved exercises Mittag-Leffler functions Wright functions integral transform methodology Hypergeometric function Hadamard integrals Mellin-Barnes integrals

Authors and affiliations

  • Edmundo┬áCapelas de Oliveira
    • 1
  1. 1.IMECCUniversidade Estadual de CampinasCampinasBrazil

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-20524-9
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-030-20523-2
  • Online ISBN 978-3-030-20524-9
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site