This book is a landmark title in the continuous move from integer to noninteger in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integerorder 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 fractionalorder 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. The key features include: 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 and, includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives.
About Igor Podlubny
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.Details Book
Author  :  Igor Podlubny 
Publisher  :  Academic Press Inc 
Data Published  :  27 October 1998 
ISBN  :  0125588402 
EAN  :  9780125588409 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  340 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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