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Fractional Differential Equations, Volume 198 - An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications (Hardcover)
Loot Price: R2,667
Discovery Miles 26 670
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Fractional Differential Equations, Volume 198 - An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications (Hardcover)
Series: Mathematics in Science & Engineering
Expected to ship within 12 - 17 working days
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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
General
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