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2019 | OriginalPaper | Chapter

1. Fractional Calculus

Authors : Ricardo Almeida, Dina Tavares, Delfim F. M. Torres

Published in: The Variable-Order Fractional Calculus of Variations

Publisher: Springer International Publishing

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Abstract

In this chapter, a brief introduction to the theory of fractional calculus is presented. We start with a historical perspective of the theory, with a strong connection with the development of classical calculus (Sect. 1.1). Then, in Sect. 1.2, we review some definitions and properties about a few special functions that will be needed. We end with a review on fractional integrals and fractional derivatives of noninteger order and with some formulas of integration by parts, involving fractional operators (Sect. 1.3).

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next chapter The Calculus of Variations
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Metadata
Title
Fractional Calculus
Authors
Ricardo Almeida
Dina Tavares
Delfim F. M. Torres
Copyright Year
2019
Book
The Variable-Order Fractional Calculus of Variations

Print ISBN: 978-3-319-94005-2

Electronic ISBN: 978-3-319-94006-9

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-94006-9_1

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