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Advances in Fractional Calculus

Theoretical Developments and Applications in Physics and Engineering

Editors: Sabatier, J., Agrawal, O. P., Tenreiro Machado, J. A. (Eds.)

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  • 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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eBook $189.00
price for USA in USD (gross)
  • ISBN 978-1-4020-6042-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $299.99
price for USA in USD
  • ISBN 978-1-4020-6041-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.99
price for USA in USD
  • ISBN 978-90-481-7513-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (37 chapters)

Table of contents (37 chapters)
  • Three Classes of FDEs Amenable to Approximation Using a Galerkin Technique

    Pages 3-14

    Singh, Satwinder Jit (et al.)

  • Enumeration of the Real Zeros of the Mittag-Leffler Function Eα(z), 1 <α< 2

    Pages 15-26

    Hanneken, John W. (et al.)

  • The Caputo Fractional Derivative: Initialization Issues Relative to Fractional Differential Equation

    Pages 27-42

    Achar, B. N. Narahari (et al.)

  • Comparison of Five Numerical Schemes for Fractional Differential Equations

    Pages 43-60

    Agrawal, Om Prakash (et al.)

  • Suboptimum H2 Pseudo-rational Approximations to Fractional-order Linear Time Invariant Systems

    Pages 61-75

    Xue, Dingyü (et al.)

Buy this book

eBook $189.00
price for USA in USD (gross)
  • ISBN 978-1-4020-6042-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $299.99
price for USA in USD
  • ISBN 978-1-4020-6041-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.99
price for USA in USD
  • ISBN 978-90-481-7513-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Advances in Fractional Calculus
Book Subtitle
Theoretical Developments and Applications in Physics and Engineering
Editors
  • J. Sabatier
  • O. P. Agrawal
  • J. A. Tenreiro Machado
Copyright
2007
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-6042-7
DOI
10.1007/978-1-4020-6042-7
Hardcover ISBN
978-1-4020-6041-0
Softcover ISBN
978-90-481-7513-0
Edition Number
1
Number of Pages
XIII, 552
Topics