Overview
- Fractional Calculus is a new growing field. Up to this point, researchers, scientists, and engineers have been reluctant to accept the fact that Fractional Calculus can be used in the analysis and design of many systems of practical interests, whereas in similar applications the traditional calculus either fails or provides poor solutions
- Many engineers, scientists, and applied mathematicians are looking for books that can provide many applications of Fractional Calculus. This book will provide a partial solution to this problem. Since it covers recent applications of Fractional Calculus, it will be attractive to many engineers, scientists, and applied mathematicians
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Table of contents (37 chapters)
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Front Matter
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Analytical and Numerical Techniques
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Front Matter
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Diffusive Systems
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Front Matter
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Modeling
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Front Matter
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Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Advances in Fractional Calculus
Book Subtitle: Theoretical Developments and Applications in Physics and Engineering
Editors: Jocelyn Sabatier, Om Prakash Agrawal, J. A. Tenreiro Machado
DOI: https://doi.org/10.1007/978-1-4020-6042-7
Publisher: Springer Dordrecht
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media B.V. 2007
Hardcover ISBN: 978-1-4020-6041-0Published: 11 July 2007
Softcover ISBN: 978-90-481-7513-0Published: 19 October 2010
eBook ISBN: 978-1-4020-6042-7Published: 28 July 2007
Edition Number: 1
Number of Pages: XIII, 552
Topics: Mathematical and Computational Engineering, Simulation and Modeling, Systems Theory, Control, Theoretical, Mathematical and Computational Physics, Mechanical Engineering, Electrical Engineering