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2015 | OriginalPaper | Buchkapitel

3. Fractional calculus and fractional order operators

verfasst von : Sabir Umarov

Erschienen in: Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Verlag: Springer International Publishing

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Abstract

Fractional order differential equations are an efficient tool to model various processes arising in science and engineering. Fractional models adequately reflect subtle internal properties, such as memory or hereditary properties, of complex processes that the classical integer order models neglect. In this chapter we will discuss the theoretical background of fractional modeling, that is the fractional calculus, including recent developments - distributed and variable fractional order differential operators.

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Vorheriges Kapitel Pseudo-differential operators with singular symbols (ΨDOSS)

Nächstes Kapitel Boundary value problems for pseudo-differential equations with singular symbols

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Titel: Fractional calculus and fractional order operators
verfasst von: Sabir Umarov
Verlag: Springer International Publishing
Buch: Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Print ISBN: 978-3-319-20770-4

Electronic ISBN: 978-3-319-20771-1

Copyright-Jahr: 2015
DOI: https://doi.org/10.1007/978-3-319-20771-1_3

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