Fractional Calculus: Models And Numerical Methods

Lingua: inglese

Editore: World Scientific Publishing Co Pte Ltd, SG, 2012

9814355208 / 9789814355209

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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 of elementary functions, and so on.This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model tick-by-tick (log)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models.All these topics are complementary to what is dealt with in existing books on fractional calculus and its applications. This book was written with a trade-off in mind between full mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of their choice. Numerical code is also provided.…

Codice articolo LU-9789814355209

Titolo
Fractional Calculus: Models And Numerical Methods
Autore
Juan J Trujillo, Dumitru Baleanu, Kai Diethelm, Enrico Scalas
Editore
World Scientific Publishing Co Pte Ltd, SG
Anno di pubblicazione
2012
Condizione
New
Rilegatura
Hardback
Lingua
inglese
ISBN 10
9814355208
ISBN 13
9789814355209
Dimensioni
15.24 x 2.39 x 22.86 cm

Rarewaves.com UK

London, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 11 giugno 2025

Tariffe di spedizione da Regno Unito a U.S.A.

ArticoloDa 60 a 60 giorni lavorativiDa 60 a 60 giorni lavorativi
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