LEADER 03587nam 2200649Ia 450 001 9910484261203321 005 20200520144314.0 010 $a9786613569752 010 $a9781280391835 010 $a1280391839 010 $a9783642145742 010 $a3642145744 024 7 $a10.1007/978-3-642-14574-2 035 $a(CKB)2670000000036600 035 $a(SSID)ssj0000449013 035 $a(PQKBManifestationID)11300454 035 $a(PQKBTitleCode)TC0000449013 035 $a(PQKBWorkID)10392763 035 $a(PQKB)11469625 035 $a(DE-He213)978-3-642-14574-2 035 $a(MiAaPQ)EBC3065679 035 $a(PPN)149019998 035 $a(EXLCZ)992670000000036600 100 $a20100927d2010 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 14$aThe analysis of fractional differential equations $ean application-oriented exposition using differential operators of Caputo type /$fKai Diethelm 205 $a1st ed. 2010. 210 $aBerlin $cSpringer$dc2010 215 $a1 online resource (VIII, 247 p. 10 illus.) 225 1 $aLecture notes in mathematics,$x1617-9692 ;$v2004 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9781671668454 311 08$a1671668456 311 08$a9783642145735 311 08$a3642145736 320 $aIncludes bibliographical references (p. 237-244) and index. 327 $aFundamentals of Fractional Calculus -- Riemann-Liouville Differential and Integral Operators -- Caputo?s Approach -- Mittag-Leffler Functions -- Theory of Fractional Differential Equations -- Existence and Uniqueness Results for Riemann-Liouville Fractional Differential Equations -- Single-Term Caputo Fractional Differential Equations: Basic Theory and Fundamental Results -- Single-Term Caputo Fractional Differential Equations: Advanced Results for Special Cases -- Multi-Term Caputo Fractional Differential Equations. 330 $aFractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on aspects with comparatively little significance in applications, and the engineering literature often lacks mathematical detail and precision. This book bridges the gap between the two communities. It concentrates on the class of fractional derivatives most important in applications, the Caputo operators, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations. The text is a useful tool for mathematicians and researchers from the applied sciences alike. It can also be used as a basis for teaching graduate courses on fractional differential equations. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v2004. 517 3 $aApplication-oriented exposition using differential operators of Caputo type 606 $aDifferential equations 606 $aFractional calculus 615 0$aDifferential equations. 615 0$aFractional calculus. 676 $a515/.83 700 $aDiethelm$b Kai$0478947 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484261203321 996 $aThe Analysis of Fractional Differential Equations$92831263 997 $aUNINA