LEADER 03078nam 2200613 a 450 001 9910821263103321 005 20230725041556.0 010 $a1-282-75983-3 010 $a9786612759833 010 $a1-84816-330-4 035 $a(CKB)2490000000001915 035 $a(EBL)731300 035 $a(OCoLC)670429009 035 $a(SSID)ssj0000418038 035 $a(PQKBManifestationID)12121439 035 $a(PQKBTitleCode)TC0000418038 035 $a(PQKBWorkID)10368557 035 $a(PQKB)10956100 035 $a(MiAaPQ)EBC731300 035 $a(WSP)0000P614 035 $a(Au-PeEL)EBL731300 035 $a(CaPaEBR)ebr10422020 035 $a(CaONFJC)MIL275983 035 $a(EXLCZ)992490000000001915 100 $a20100823d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFractional calculus and waves in linear viscoelasticity$b[electronic resource] $ean introduction to mathematical models /$fFrancesco Mainardi 210 $aLondon $cImperial College Press$dc2010 215 $a1 online resource (368 p.) 300 $aDescription based upon print version of record. 311 $a1-84816-329-0 320 $aIncludes bibliographical references and index. 327 $aPreface; 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 327 $aIndex 330 $aThis 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 606 $aFractional calculus 606 $aWaves$xMathematical models 606 $aViscoelasticity$xMathematical models 615 0$aFractional calculus. 615 0$aWaves$xMathematical models. 615 0$aViscoelasticity$xMathematical models. 676 $a531.1133 700 $aMainardi$b F$g(Francesco),$f1942-$040606 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910821263103321 996 $aFractional calculus and waves in linear viscoelasticity$91749385 997 $aUNINA