Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models

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A01=Francesco Mainardi
Anomalous Diffusion
Author_Francesco Mainardi
Category=PBKB
Category=PBWH
Diffusion
Dispersion
Dissipation
eq_isMigrated=1
eq_nobargain
Fourier Transforms
Fractional Calculus
Fractional Derivatives
Fractional Integrals
Integral Transforms
Laplace Transforms
Linear Viscoelasticity
Mittag-Leffler Functions
Rheological Models
Special Functions
Waves
Wright Functions

Product details

  • ISBN 9781783263981
  • Publication Date: 09 Sep 2022
  • Publisher: Imperial College Press
  • Publication City/Country: GB
  • Product Form: Hardback
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Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation and waves) with particular regard to models based on fractional calculus. It serves 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. In particular the relevant role played by some special functions is pointed out along with their visualization through plots. Graphics are extensively used in the book and a large general bibliography is included at the end.This new edition keeps the structure of the first edition but each chapter has been revised and expanded, and new additions include a novel appendix on complete monotonic and Bernstein functions that are known to play a fundamental role in linear viscoelasticity.This book is suitable for engineers, graduate students and researchers interested in fractional calculus and continuum mechanics.

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