Fractional calculus and waves in linear viscoelasticity : an introduction to mathematical models / Francesco Mainardi.

Format:

Book

Author/Creator:

Mainardi, F. (Francesco), 1942-

Language:

English

Subjects (All):

Fractional calculus.

Waves--Mathematical models.

Waves.

Viscoelasticity--Mathematical models.

Viscoelasticity.

Physical Description:

1 online resource (368 p.)

Edition:

1st ed.

Place of Publication:

London : Imperial College Press, c2010.

Language Note:

English

Summary:

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 resea

Contents:

Preface; Acknowledgements; Contents; List of Figures; 1. Essentials of Fractional Calculus; 2. Essentials of Linear Viscoelasticity; 3. Fractional Viscoelastic Models; 4. Waves in Linear Viscoelastic Media: Dispersion and Dissipation; 5. Waves in Linear Viscoelastic Media: Asymptotic Representations; 6. Diffusion and Wave-Propagation via Fractional Calculus; Appendix A The Eulerian Functions; Appendix B The Bessel Functions; Appendix C The Error Functions; Appendix D The Exponential Integral Functions; Appendix E The Mittag-Leffler Functions; Appendix F The Wright Functions; Bibliography

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786612759833

9781282759831

1282759833

9781848163300

1848163304

OCLC:

670429009