The fractional calculus : theory and applications of differentiation and integration to arbitrary order /
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York :
Academic Press,
1974.
|
Colección: | Mathematics in science and engineering ;
v. 111. |
Temas: | |
Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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100 | 1 | |a Oldham, Keith B. | |
245 | 1 | 4 | |a The fractional calculus : |b theory and applications of differentiation and integration to arbitrary order / |c Keith B. Oldham [and] Jerome Spanier. |
260 | |a New York : |b Academic Press, |c 1974. | ||
300 | |a 1 online resource (xiii, 234 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 Mathematics in science and engineering ; |v v. 111 | |
504 | |a Includes bibliographical references (pages 219-223) and index. | ||
505 | 0 | |a Introduction -- Differentiation and integration to the integer order -- Fractional derivatives and integrals : definitions and equivalences -- Differentigration of simple functions -- General properties -- Differintegration of more complex functions -- Semiderivatives and semiintegral -- Techniques in the fractional calculus -- Representation of transcendental functions -- Applications in the classical calculus -- Applications to diffusion problems. | |
588 | 0 | |a Print version record. | |
506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
520 | |a In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank. | ||
650 | 0 | |a Fractional calculus. | |
650 | 6 | |a D�eriv�ees fractionnaires. |0 (CaQQLa)201-0283840 | |
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 | |
650 | 7 | |a Funktionentheorie |2 gnd |0 (DE-588)4018935-1 | |
650 | 7 | |a Spezielle Funktion |2 gnd |0 (DE-588)4182213-4 | |
650 | 7 | |a Analise Real. |2 larpcal | |
650 | 7 | |a Calcul des variations. |2 ram | |
700 | 1 | |a Spanier, Jerome, |d 1930- | |
776 | 0 | 8 | |i Print version: |a Oldham, Keith B. |t Fractional calculus. |d New York, Academic Press, 1974 |z 0125255500 |w (DLC) 73005304 |w (OCoLC)754362 |
830 | 0 | |a Mathematics in science and engineering ; |v v. 111. | |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780125255509 |z Texto completo |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/111 |z Texto completo |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=111 |z Texto completo |