Solved Exercises in Fractional Calculus

1. Auflage 2019
ISBN: 978-3-030-20526-3
Verlag: Springer International Publishing

Buch, Englisch, Band 240, 321 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 517 g

Reihe: Studies in Systems, Decision and Control

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Capelas De Oliveira, Edmundo

Fachgebiete

• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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

Über Autor(innen)

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.