Fractional Differential Equations, Volume 198 [PDF]

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Description

Fractional Differential Equations, Volume 198



Fractional Differential Equations, Volume 198
Author(s): Igor Podlubny
Publisher: Academic Press
Date: 1998
Pages: 366
Format: PDF
Language: English
ISBN-10: 0125588402
ISBN-13: 978-0125588409
Size: 13.16 MB



Description:

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



Review:

"...This is by no means the first (or the last) book on the subject of fractional calculus, but indeed it is one that would undoubtedly attract the attention (and successfully serve the needs) of mathematical, physical, and engineering scientists looking for applications of fractional calculus. I, therefore, recommend this well-written book to all users of fractional calculus."
--H. M. Srivastava, Zentralblatt MATH



About the Author:

Igor Podlubny is an Associate Professor at the Faculty of Mining, Ecology, Process Control, and Geotechnology of the Technical University of Kosice. He received his MSc in applied mathematics degree and Ph.D. degree in differential equations and mathematical physics from the Odessa State University, Ukraine, and the RNDr degree from the Comenius University in Bratislava, Slovakia. His work and interests focus on applications of mathematics in other fields, and especially on applications of differential equations of an arbitrary order.



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Fractional Differential Equations, Volume 198 [PDF]

All Comments

Dun let the ©1999 bias your opinion. Unfortunately, there are no 'problems' at the end of each chapter to ensure you've properly taken in the material. However, chapters 8-10 jam on numerical solutions, control systems and a survey of applications which are all surprisingly broad in scope. A welcome addition to any engineer's bookshelf. thx sammy.