000			a
999			_c33876 _d33876
008			250425b xxu||||| |||| 00| 0 eng d
020			_a9783642145735
082			_a515.35 _bDIE
100			_aDiethelm, Kai
245			_aThe analysis of fractional differential equations : an application-oriented exposition using differential operators of Caputo type
260			_bSpringer, _c2010 _aHeidelberg :
300			_aviii, 271 p. ; _bill., port, tables. _c24 cm.
365			_b59.99 _c€ _d97.70
490			_aLecture notes in mathematics (Springer-Verlag) ; _v2004
504			_aIncludes bibliographical references and index.
520			_aAnnotation. Fractional 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			_aArtificial Intelligence
650			_aFractional Derivatives
650			_aDifferential Equations
650			_aFractional Calculus
942			_2ddc _cBK