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Functional Fractional Calculus
When 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 extr...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
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| Edición: | 2nd ed. 2011. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-642-20545-3 | ||
| 003 | DE-He213 | ||
| 005 | 20220118185437.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110719s2011 gw | s |||| 0|eng d | ||
| 020 | |a 9783642205453 |9 978-3-642-20545-3 | ||
| 024 | 7 | |a 10.1007/978-3-642-20545-3 |2 doi | |
| 050 | 4 | |a TA329-348 | |
| 050 | 4 | |a TA345-345.5 | |
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| 100 | 1 | |a Das, Shantanu. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Functional Fractional Calculus |h [electronic resource] / |c by Shantanu Das. |
| 250 | |a 2nd ed. 2011. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2011. | |
| 300 | |a XXVIII, 612 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a CHAPTER 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 | |a When 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 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering-Data processing. | |
| 650 | 0 | |a Mathematics-Data processing. | |
| 650 | 0 | |a Dynamics. | |
| 650 | 0 | |a Nonlinear theories. | |
| 650 | 1 | 4 | |a Mathematical and Computational Engineering Applications. |
| 650 | 2 | 4 | |a Computational Science and Engineering. |
| 650 | 2 | 4 | |a Applied Dynamical Systems. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642205446 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642444609 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642205460 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-20545-3 |z Texto Completo |
| 912 | |a ZDB-2-ENG | ||
| 912 | |a ZDB-2-SXE | ||
| 950 | |a Engineering (SpringerNature-11647) | ||
| 950 | |a Engineering (R0) (SpringerNature-43712) | ||