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Record Nr. |
UNINA9910821263103321 |
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Autore |
Mainardi F (Francesco), <1942-> |
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Titolo |
Fractional calculus and waves in linear viscoelasticity [[electronic resource] ] : an introduction to mathematical models / / Francesco Mainardi |
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Pubbl/distr/stampa |
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London, : Imperial College Press, c2010 |
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ISBN |
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1-282-75983-3 |
9786612759833 |
1-84816-330-4 |
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Descrizione fisica |
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1 online resource (368 p.) |
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Disciplina |
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Soggetti |
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Fractional calculus |
Waves - Mathematical models |
Viscoelasticity - Mathematical models |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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