03078nam 2200613 a 450 991078087750332120230725041556.01-282-75983-397866127598331-84816-330-4(CKB)2490000000001915(EBL)731300(OCoLC)670429009(SSID)ssj0000418038(PQKBManifestationID)12121439(PQKBTitleCode)TC0000418038(PQKBWorkID)10368557(PQKB)10956100(MiAaPQ)EBC731300(WSP)0000P614(Au-PeEL)EBL731300(CaPaEBR)ebr10422020(CaONFJC)MIL275983(EXLCZ)99249000000000191520100823d2010 uy 0engur|n|---|||||txtccrFractional calculus and waves in linear viscoelasticity[electronic resource] an introduction to mathematical models /Francesco MainardiLondon Imperial College Pressc20101 online resource (368 p.)Description based upon print version of record.1-84816-329-0 Includes bibliographical references and index.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; BibliographyIndexThis 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 reseaFractional calculusWavesMathematical modelsViscoelasticityMathematical modelsFractional calculus.WavesMathematical models.ViscoelasticityMathematical models.531.1133Mainardi F(Francesco),1942-40606MiAaPQMiAaPQMiAaPQBOOK9910780877503321Fractional calculus and waves in linear viscoelasticity1749385UNINA