Solved Exercises in Fractional Calculus

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.

List of contents

A bit of history.- Special functions.- Mittag-Leffler Functions.- Integral transforms.- Fractional derivatives.- Applications and add-ons.

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. 

Summary

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.

Product details

• Authors: Edmundo Capelas de Oliveira
• Publisher: Springer, Berlin
• Languages: English, German
• Product format: Hardback
• Released: 01.01.2019
• EAN: 9783030205232
• ISBN: 978-3-0-3020523-2
• No. of pages: 321
• Dimensions: 157 mm x 243 mm x 26 mm
• Weight: 663 g
• Illustrations: XVIII, 321 p. 15 illus.
• Series: Studies in Systems, Decision and Control; Studies in Systems, Decision and Control
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; B, Calculus, Diseases, engineering, Mathematical and Computational Engineering, Engineering mathematics, Applied mathematics, Mathematical and Computational Engineering Applications, Operational calculus, Integral transforms, Integral Transforms and Operational Calculus, Integral Transforms, Operational Calculus, Integral calculus & equations