Advances in Fractional Calculus

Advances in Fractional Calculus
Author: J. Sabatier
Publisher: Springer Science & Business Media
Total Pages: 550
Release: 2007-07-28
Genre: Technology & Engineering
ISBN: 1402060424


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In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing. For example, in the last three fields, some important considerations such as modelling, curve fitting, filtering, pattern recognition, edge detection, identification, stability, controllability, observability and robustness are now linked to long-range dependence phenomena. Similar progress has been made in other fields listed here. The scope of the book is thus to present the state of the art in the study of fractional systems and the application of fractional differentiation. As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians.


Advances in Fractional Calculus
Language: en
Pages: 550
Authors: J. Sabatier
Categories: Technology & Engineering
Type: BOOK - Published: 2007-07-28 - Publisher: Springer Science & Business Media

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In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistr
Generalized Fractional Calculus and Applications
Language: en
Pages: 412
Authors: Virginia S Kiryakova
Categories: Mathematics
Type: BOOK - Published: 1993-12-27 - Publisher: CRC Press

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In this volume various applications are discussed, in particular to the hyper-Bessel differential operators and equations, Dzrbashjan-Gelfond-Leontiev operators
Fractional Calculus
Language: en
Pages: 274
Authors: Richard Herrmann
Categories: Science
Type: BOOK - Published: 2011 - Publisher: World Scientific

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Fractional calculus is undergoing rapidly and ongoing development. We can already recognize, that within its framework new concepts and strategies emerge, which
An Introduction to the Fractional Calculus and Fractional Differential Equations
Language: en
Pages: 384
Authors: Kenneth S. Miller
Categories: Mathematics
Type: BOOK - Published: 1993-06-02 - Publisher: Wiley-Interscience

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Commences with the historical development of fractional calculus, its mathematical theory—particularly the Riemann-Liouville version. Numerous examples and th
Functional Fractional Calculus
Language: en
Pages: 635
Authors: Shantanu Das
Categories: Technology & Engineering
Type: BOOK - Published: 2011-06-01 - Publisher: Springer Science & Business Media

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When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculu