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Solved Exercises in Fractional Calculus [electronic resource] / by Edmundo Capelas de Oliveira.

By: Capelas de Oliveira, Edmundo [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Systems, Decision and Control: 240Publisher: Cham : Springer International Publishing : Imprint: Springer, 2019Edition: 1st ed. 2019.Description: XVIII, 321 p. 15 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030205249.Subject(s): Engineering mathematics | Engineering—Data processing | Mathematical analysis | Mathematical and Computational Engineering Applications | Integral Transforms and Operational CalculusAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 620 Online resources: Click here to access online
Contents:
A bit of history -- Special functions -- Mittag-Leffler Functions -- Integral transforms -- Fractional derivatives -- Applications and add-ons.
In: Springer Nature eBookSummary: 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.
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A bit of history -- Special functions -- Mittag-Leffler Functions -- Integral transforms -- Fractional derivatives -- Applications and add-ons.

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.

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