Fractional calculus and waves in linear viscoelasticity : an introduction to mathematical models

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Bibliographic Information

Fractional calculus and waves in linear viscoelasticity : an introduction to mathematical models

Francesco Mainardi

Imperial College Press, c2010

  • : hbk

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Note

Includes bibliographical references (p. 261-341) and index

Description and Table of Contents

Description

This monograph provides a comprehensive overview of the author's work on the fields of fractional calculus and waves in linear viscoelastic media, which includes his pioneering contributions on the applications of special functions of the Mittag-Leffler and Wright types.It is intended to serve as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature given in the huge general bibliography.This book is likely to be of interest to applied scientists and engineers.

Table of Contents

  • Essentials of Fractional Calculus
  • Essentials of Linear Viscoelasticity
  • Fractional Viscoelastic Media
  • Waves in Linear Viscoelastic Media: Dispersion and Dissipation
  • Waves in Linear Viscoelastic Media: Asymptotic Methods
  • Pulse Evolution in Fractional Viscoelastic Media
  • The Eulerian Functions
  • The Bessel Functions
  • The Error Functions
  • The Exponential Integral Functions
  • The Mittag-Leffler Functions
  • The Wright Functions.

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