Fractional calculus : models and numerical methods /
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| Imprint: | Singapore ; London : World Scientific. |
|---|---|
| Description: | 1 online resource (xxiv, 400 pages) : illustrations |
| Language: | English |
| Series: | Series on complexity, nonlinearity, and chaos ; vol. 3 Series on complexity, nonlinearity and chaos ; v. 3. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11132411 |
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| 245 | 0 | 0 | |a Fractional calculus : |b models and numerical methods / |c Dumitru Baleanu [and others]. |
| 260 | |a Singapore ; |a London : |b World Scientific. | ||
| 300 | |a 1 online resource (xxiv, 400 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Series on complexity, nonlinearity, and chaos ; |v vol. 3 | |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 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. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Fractional calculus. |0 http://id.loc.gov/authorities/subjects/sh93004015 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Fractional calculus. |2 fast |0 (OCoLC)fst00933515 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Baleanu, D. |q (Dumitru) |0 http://id.loc.gov/authorities/names/nb2007006583 | |
| 776 | 1 | |z 9814355208 | |
| 776 | 1 | |z 9789814355209 | |
| 830 | 0 | |a Series on complexity, nonlinearity and chaos ; |v v. 3. |0 http://id.loc.gov/authorities/names/no2010048286 | |
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| 928 | |t Library of Congress classification |a QA314 .F73 2012 |l Online |c UC-FullText |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=457176 |z eBooks on EBSCOhost |g ebooks |i 12368628 | ||