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001 978-3-030-00895-6
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008 181028s2019 sz | s |||| 0|eng d
020 _a9783030008956
_9978-3-030-00895-6
024 7 _a10.1007/978-3-030-00895-6
_2doi
050 4 _aTA329-348
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
082 0 4 _a620.00151
_223
100 1 _aMilici, Constantin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_939154
245 1 0 _aIntroduction to Fractional Differential Equations
_h[electronic resource] /
_cby Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXIII, 188 p. 32 illus., 29 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 _aNonlinear Systems and Complexity,
_x2196-0003 ;
_v25
505 0 _aIntroduction -- Special Functions -- Fractional derivative and integral -- The Laplace transform -- Fractional differential equations -- Generalized systems -- Numerical methods.
520 _aThis book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods. Introduces Fractional Calculus in an accessible manner, based on standard integer calculus Supports the use of higher-level mathematical packages, such as Mathematica or Maple Facilitates understanding the generalization (towards Fractional Calculus) of important models and systems, such as Lorenz, Chua, and many others Provides a simultaneous introduction to analytical and numerical methods in Fractional Calculus.
650 0 _aEngineering mathematics.
_93254
650 0 _aMathematical optimization.
_94112
650 0 _aCalculus of variations.
_917382
650 0 _aMathematical analysis.
_911486
650 0 _aDynamics.
_939155
650 0 _aNonlinear theories.
_93339
650 1 4 _aEngineering Mathematics.
_93254
650 2 4 _aCalculus of Variations and Optimization.
_931596
650 2 4 _aIntegral Transforms and Operational Calculus.
_939156
650 2 4 _aApplied Dynamical Systems.
_932005
700 1 _aDrăgănescu, Gheorghe.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_939157
700 1 _aTenreiro Machado, J.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_939158
710 2 _aSpringerLink (Online service)
_939159
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030008949
776 0 8 _iPrinted edition:
_z9783030008963
776 0 8 _iPrinted edition:
_z9783030131531
830 0 _aNonlinear Systems and Complexity,
_x2196-0003 ;
_v25
_939160
856 4 0 _uhttps://doi.org/10.1007/978-3-030-00895-6
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c76500
_d76500