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Advances in Fractional Calculus

Theoretical Developments and Applications in Physics and Engineering

  • Book
  • © 2007


  • 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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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.

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Table of contents (37 chapters)

  1. Analytical and Numerical Techniques

  2. Classical Mechanics and Particle Physics

  3. Diffusive Systems

  4. Modeling

Editors and Affiliations

  • Université Bordeaux 1, – ENSEIRB, France

    Jocelyn Sabatier

  • Southern Illinois University, Carbondale, USA

    Om Prakash Agrawal

  • Institute of Engineering of Porto, Portugal

    J. A. Tenreiro Machado

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