By
Igor Podlubny, Technical University of Kosice, Slovak Republic
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.
Included in series
Mathematics in Science and Engineering
Audience:
Researchers in math analysis; engineers; mathematicians; applied scientists wishing to use fractional-order models for modeling and studying
processes in a particular field; teachers and students of differential and integral calculus, and mathematical and theoretical physics.
