000			03250nam a22004935i 4500
001			978-3-642-14574-2
003			DE-He213
005			20140220084543.0
007			cr nn 008mamaa
008			100825s2010 gw | s |||| 0|eng d
020			_a9783642145742 _9978-3-642-14574-2
024	7		_a10.1007/978-3-642-14574-2 _2doi
050		4	_aQA372
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.352 _223
100	1		_aDiethelm, Kai. _eauthor.
245	1	4	_aThe Analysis of Fractional Differential Equations _h[electronic resource] : _bAn Application-Oriented Exposition Using Differential Operators of Caputo Type / _cby Kai Diethelm.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aVIII, 247p. 20 illus., 10 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v2004
505	0		_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.
520			_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.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aIntegral equations.
650		0	_aDifferential Equations.
650	1	4	_aMathematics.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aIntegral Equations.
650	2	4	_aAnalysis.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642145735
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v2004
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-14574-2
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c112504 _d112504