$Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications /$

Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications /

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Bibliographic Details
Author / Creator:	Podlubny, Igor.
Imprint:	San Diego : Academic Press, ©1999.
Description:	1 online resource (xxiv, 340 pages) : illustrations.
Language:	English
Series:	Mathematics in science and engineering ; v. 198 Mathematics in science and engineering ; v. 198.
Subject:	Differential equations -- Numerical solutions. Fractional calculus. Differential equations. Differential equations. Differential equations -- Numerical solutions. Fractional calculus. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11153800

Hidden Bibliographic Details
ISBN:	9780080531984 0080531989 0125588402 9780125588409 9780125588409 1281279498 9781281279491 9786611279493 6611279490
Notes:	Includes bibliographical references (pages 313-335) and index. English.
Summary:	This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. Key Features * A unique survey of many applications of fractional calculus * Presents basic theory * Includes a unified presentation of selected classical results, which are important for applications * Provides many examples * Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory * The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches * Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives.
Other form:	Print version: Podlubny, Ogor. Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. San Diego : Academic Press, 1999 0125588402 9780125588409

Description
Summary:	This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'.This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models.In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research.A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications.- A unique survey of many applications of fractional calculus- Presents basic theory- Includes a unified presentation of selected classical results, which are important for applications- Provides many examples- Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory- The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches- Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives
Physical Description:	1 online resource (xxiv, 340 pages) : illustrations.
Bibliography:	Includes bibliographical references (pages 313-335) and index.
ISBN:	9780080531984 0080531989 0125588402 9780125588409 1281279498 9781281279491 9786611279493 6611279490