Verfügbarkeit: Fractional calculus :

Fractional calculus :: models and numerical methods /

The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applic...

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Weitere Verfasser:	Baleanu, D. (Dumitru)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Singapore ; London : World Scientific.
Schriftenreihe:	Series on complexity, nonlinearity and chaos ; v. 3.
Schlagworte:	Fractional calculus. Dérivées fractionnaires. MATHEMATICS > Calculus. MATHEMATICS > Mathematical Analysis. Fractional calculus
Online-Zugang:	Volltext
Zusammenfassung:	The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering. These operators have been used to model problems with anomalous dynamics, however, they also are an effective tool as filters and controllers, and they can be applied to write complicated functions in terms of fractional integrals or derivatives o.
Beschreibung:	1 online resource (xxiv, 400 pages :)
Bibliographie:	Includes bibliographical references and index.
ISBN:	9789814355216 9814355216 1280669527 9781280669521 9786613646453 6613646458

Internformat

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505	0		\|a Preface; 1. Preliminaries; 1.1 Fourier and Laplace Transforms; 1.2 Special Functions and Their Properties; 1.2.1 The Gamma function and related special functions; 1.2.2 Hypergeometric functions; 1.2.3 Mittag-Leffler functions; 1.3 Fractional Operators; 1.3.1 Riemann-Liouville fractional integrals and fractional derivatives; 1.3.2 Caputo fractional derivatives; 1.3.3 Liouville fractional integrals and fractional derivatives. Marchaud derivatives; 1.3.4 Generalized exponential functions; 1.3.5 Hadamard type fractional integrals and fractional derivatives.
504			\|a Includes bibliographical references and index.
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contents	Preface; 1. Preliminaries; 1.1 Fourier and Laplace Transforms; 1.2 Special Functions and Their Properties; 1.2.1 The Gamma function and related special functions; 1.2.2 Hypergeometric functions; 1.2.3 Mittag-Leffler functions; 1.3 Fractional Operators; 1.3.1 Riemann-Liouville fractional integrals and fractional derivatives; 1.3.2 Caputo fractional derivatives; 1.3.3 Liouville fractional integrals and fractional derivatives. Marchaud derivatives; 1.3.4 Generalized exponential functions; 1.3.5 Hadamard type fractional integrals and fractional derivatives.
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series2	Series on complexity, nonlinearity, and chaos ;
spelling	Fractional calculus : models and numerical methods / Dumitru Baleanu [and others]. Singapore ; London : World Scientific. 1 online resource (xxiv, 400 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Series on complexity, nonlinearity, and chaos ; vol. 3 Print version record. The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering. These operators have been used to model problems with anomalous dynamics, however, they also are an effective tool as filters and controllers, and they can be applied to write complicated functions in terms of fractional integrals or derivatives o. Preface; 1. Preliminaries; 1.1 Fourier and Laplace Transforms; 1.2 Special Functions and Their Properties; 1.2.1 The Gamma function and related special functions; 1.2.2 Hypergeometric functions; 1.2.3 Mittag-Leffler functions; 1.3 Fractional Operators; 1.3.1 Riemann-Liouville fractional integrals and fractional derivatives; 1.3.2 Caputo fractional derivatives; 1.3.3 Liouville fractional integrals and fractional derivatives. Marchaud derivatives; 1.3.4 Generalized exponential functions; 1.3.5 Hadamard type fractional integrals and fractional derivatives. Includes bibliographical references and index. English. Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Fractional calculus fast Baleanu, D. (Dumitru) https://id.oclc.org/worldcat/entity/E39PCjMgw6rB9tyXcrmmQCw4D3 http://id.loc.gov/authorities/names/nb2007006583 has work: Fractional calculus (Text) https://id.oclc.org/worldcat/entity/E39PCFYmBKdkBgyJ7ppgXQHw83 https://id.oclc.org/worldcat/ontology/hasWork 9814355208 9789814355209 Series on complexity, nonlinearity and chaos ; v. 3. http://id.loc.gov/authorities/names/no2010048286 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=457176 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=457176 Volltext
spellingShingle	Fractional calculus : models and numerical methods / Series on complexity, nonlinearity and chaos ; Preface; 1. Preliminaries; 1.1 Fourier and Laplace Transforms; 1.2 Special Functions and Their Properties; 1.2.1 The Gamma function and related special functions; 1.2.2 Hypergeometric functions; 1.2.3 Mittag-Leffler functions; 1.3 Fractional Operators; 1.3.1 Riemann-Liouville fractional integrals and fractional derivatives; 1.3.2 Caputo fractional derivatives; 1.3.3 Liouville fractional integrals and fractional derivatives. Marchaud derivatives; 1.3.4 Generalized exponential functions; 1.3.5 Hadamard type fractional integrals and fractional derivatives. Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Fractional calculus fast
subject_GND	http://id.loc.gov/authorities/subjects/sh93004015
title	Fractional calculus : models and numerical methods /
title_auth	Fractional calculus : models and numerical methods /
title_exact_search	Fractional calculus : models and numerical methods /
title_full	Fractional calculus : models and numerical methods / Dumitru Baleanu [and others].
title_fullStr	Fractional calculus : models and numerical methods / Dumitru Baleanu [and others].
title_full_unstemmed	Fractional calculus : models and numerical methods / Dumitru Baleanu [and others].
title_short	Fractional calculus :
title_sort	fractional calculus models and numerical methods
title_sub	models and numerical methods /
topic	Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Fractional calculus fast
topic_facet	Fractional calculus. Dérivées fractionnaires. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Fractional calculus
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=457176
work_keys_str_mv	AT baleanud fractionalcalculusmodelsandnumericalmethods

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