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, c1999.
Description:xxiv, 340 p. : ill. ; 24 cm.
Language:English
Series:Mathematics in science and engineering v. 198
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/3509115
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ISBN:0125588402
Notes:Includes bibliographical references (p. 313-335) and index.
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.
Physical Description:xxiv, 340 p. : ill. ; 24 cm.
Bibliography:Includes bibliographical references (p. 313-335) and index.
ISBN:0125588402