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001 u376102
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008 110719s2011 gw | s |||| 0|eng d
020 _a9783642205453
_9978-3-642-20545-3
040 _cMX-MeUAM
050 4 _aTA329-348
050 4 _aTA640-643
082 0 4 _a519
_223
100 1 _aDas, Shantanu.
_eauthor.
245 1 0 _aFunctional Fractional Calculus
_h[recurso electrónico] /
_cby Shantanu Das.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXXVIII, 612 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aCHAPTER 1 INTRODUCTION TO FRACTIONAL CALCULUS --   CHAPTER 2FUNCTIONS USED IN FRACTIONAL CALCULUS --   CHAPTER 3   OBSERVATION OF FRACTIONAL CALCULUS IN PHYSICAL SYSTEM DESCRIPTION --     CHAPTER-4   CONCEPT OF FRACTIONAL DIVERGENCE AND FRACTIONAL CURL CHAPTER-5 --   FRACTIONAL DIFFERINTEGRATIONS INSIGHT CONCEPTS -- CHAPTER-6   INITIALIZED DIFFERINTEGRALS AND GENERALIZED CALCULUS --   CHAPTER-7   GENERALIZED LAPLACE TRANSFORM FOR FRACTIONAL DIFFERINTEGRALS -- CHAPTER-8   APPLICATION OF GENERALIZED FRACTIONAL CALCULUS IN ELECTRICAL CIRCUIT ANALYSIS & ELECTROMAGNETICS --   CHAPTER-9   APPLICATION OF GENERALIZED FRACTIONAL CALCULUS IN OTHER SCIENCE AND ENGINEERING FIELDS --   CHAPTER-10   SYSTEM ORDER IDENTIFICATION AND CONTROL --   CHAPTER-11   SOLUTION OF GENERALIZED DIFFERENTIAL EQUATION SYSTEMS .
520 _aWhen a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It is extraordinary because it does not deal with ‘ordinary’ differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, with physical mathematical and geometrical explanations, but also several practical applications are given particularly for system identification, description and then efficient controls. In the second edition of this successful book the concepts of fractional and complex order differentiation and integration are elaborated mathematically, physically and geometrically. Various important new examples are presented, such as heterogeneity effects in transport background, the space having traps or islands, irregular distribution of charges, non-ideal spring with mass connected to a pointless-mass ball, material behaving with viscous as well as elastic properties, system relaxation with and without memory, or physics of random delay in computer networks . Special emphasis in this new edition is placed on the practical utility of local fractional differentiation for enhancing the character of singularity at phase transition or characterizing the irregularity measure of response function. Practical results of viscoelastic experiments, fractional order control experiments, design of fractional controller and practical circuit synthesis for fractional order elements are presented in a modern approach as well.
650 0 _aEngineering.
650 0 _aComputer science.
650 0 _aPhysics.
650 0 _aEngineering mathematics.
650 1 4 _aEngineering.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aComputational Science and Engineering.
650 2 4 _aComplexity.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642205446
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-20545-3
596 _a19
942 _cLIBRO_ELEC
999 _c203982
_d203982