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Fractional Calculus : Models and Numerical Methods, Hardcover by Baleanu, Dum...

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Book Title
Fractional Calculus : Models and Numerical Methods
ISBN
9789814355209
Publication Year
2012
Type
Textbook
Format
Hardcover
Language
English
Subject Area
Mathematics
Publication Name
Fractional Calculus : Models and Numerical Methods
Author
Dumitru Baleanu
Publisher
World Industries Scientific Publishing Co Pte LTD
Subject
Numerical Analysis, Calculus, Differential Equations / Partial, Applied
Item Weight
0 Oz
Number of Pages
450 Pages

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Product Information

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.

Product Identifiers

Publisher
World Industries Scientific Publishing Co Pte LTD
ISBN-10
9814355208
ISBN-13
9789814355209
eBay Product ID (ePID)
109128041

Product Key Features

Author
Dumitru Baleanu
Publication Name
Fractional Calculus : Models and Numerical Methods
Format
Hardcover
Language
English
Subject
Numerical Analysis, Calculus, Differential Equations / Partial, Applied
Publication Year
2012
Type
Textbook
Subject Area
Mathematics
Number of Pages
450 Pages

Dimensions

Item Weight
0 Oz

Additional Product Features

Lc Classification Number
Qa314
Copyright Date
2011
Dewey Decimal
515.83
Dewey Edition
23

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