Fractional calculus and waves in linear viscoelasticity : an introduction to mathematical models /
Mainardi, F. 1942-
Fractional calculus and waves in linear viscoelasticity : an introduction to mathematical models / Francesco Mainardi. - Singapore : World Scientific, 2022. - 1 online resource (628 p.).
Includes bibliographical references and index.
Essentials of fractional calculus -- Essentials of linear viscoelasticity -- Fractional viscoelastic models -- Waves in linear viscoelastic media: dispersion and dissipation -- Waves in linear viscoelastic media: asymptotic representations -- Diffusion and waves via time fractional calculus -- Diffusion and waves via space-time fractional calculus.
"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 modelling. 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"--
Mode of access: World Wide Web.
System requirements: Adobe Acrobat reader.
9781783263998 1783263997
2021054571
GBC283368 bnb
020581114 Uk
Fractional calculus.
Waves--Mathematical models.
Viscoelasticity--Mathematical models.
Electronic books.
QA314 / .M35
515/.83
Fractional calculus and waves in linear viscoelasticity : an introduction to mathematical models / Francesco Mainardi. - Singapore : World Scientific, 2022. - 1 online resource (628 p.).
Includes bibliographical references and index.
Essentials of fractional calculus -- Essentials of linear viscoelasticity -- Fractional viscoelastic models -- Waves in linear viscoelastic media: dispersion and dissipation -- Waves in linear viscoelastic media: asymptotic representations -- Diffusion and waves via time fractional calculus -- Diffusion and waves via space-time fractional calculus.
"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 modelling. 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"--
Mode of access: World Wide Web.
System requirements: Adobe Acrobat reader.
9781783263998 1783263997
2021054571
GBC283368 bnb
020581114 Uk
Fractional calculus.
Waves--Mathematical models.
Viscoelasticity--Mathematical models.
Electronic books.
QA314 / .M35
515/.83