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

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Francesco Mainardi (Univ Of Bologna, Italy)

Fractional Calculus And Waves In Linear Viscoelasticity

An Introduction To Mathematical Models

Francesco Mainardi (Univ Of Bologna, Italy)

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English

Imperial College Press
09 September 2022

Real analysis, real variables; Mathematical modelling

Summary
Details

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.

By: Francesco Mainardi (Univ Of Bologna Italy)
Imprint: Imperial College Press
Country of Publication: United Kingdom
Edition: Second Edition
ISBN: 9781783263981
ISBN 10: 1783263989
Pages: 628
Publication Date: 09 September 2022
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active