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010   $a9786613569752
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035   $a(DE-He213)978-3-642-14574-2
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100   $a20100825d2010      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 14$aThe Analysis of Fractional Differential Equations$b[electronic resource] $eAn Application-Oriented Exposition Using Differential Operators of Caputo Type /$fby Kai Diethelm
205   $a1st ed. 2010.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2010.
215   $a1 online resource (VIII, 247 p. 10 illus.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2004
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a1-67166-845-6 
311   $a3-642-14573-6 
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,$x0075-8434 ;$v2004
606   $aDifferential equations
606   $aIntegral equations
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
615  0$aDifferential equations.
615  0$aIntegral equations.
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615 14$aOrdinary Differential Equations.
615 24$aIntegral Equations.
615 24$aAnalysis.
676   $a515/.83
700   $aDiethelm$b Kai$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478947
906   $aBOOK
912   $a9910484261203321
996   $aThe Analysis of Fractional Differential Equations$92831263
997   $aUNINA