- Presents solved exercises in each chapter
- Introduces the concepts of fractional integral and derivative
- Recalls the integral transform methodology
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- About this Textbook
-
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.
- About the authors
-
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.
- Table of contents (6 chapters)
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A Bit of History
Pages 1-15
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Special Functions
Pages 17-67
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Mittag-Leffler Functions
Pages 69-113
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Integral Transforms
Pages 115-167
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Fractional Derivatives
Pages 169-222
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Solved Exercises in Fractional Calculus
- Authors
-
- Edmundo Capelas de Oliveira
- Series Title
- Studies in Systems, Decision and Control
- Series Volume
- 240
- Copyright
- 2019
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-20524-9
- DOI
- 10.1007/978-3-030-20524-9
- Hardcover ISBN
- 978-3-030-20523-2
- Softcover ISBN
- 978-3-030-20526-3
- Series ISSN
- 2198-4182
- Edition Number
- 1
- Number of Pages
- XVIII, 321
- Number of Illustrations
- 15 b/w illustrations
- Topics
