Fractional Differential Equations

An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Fractional Differential Equations by Igor Podlubny, Elsevier Science
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Igor Podlubny ISBN: 9780080531984
Publisher: Elsevier Science Publication: October 27, 1998
Imprint: Academic Press Language: English
Author: Igor Podlubny
ISBN: 9780080531984
Publisher: Elsevier Science
Publication: October 27, 1998
Imprint: Academic Press
Language: English

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.

  • 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
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Elsevier Science

Cover of the book Advances in Clinical Chemistry by Igor Podlubny
Cover of the book Lakes on Mars by Igor Podlubny
Cover of the book Source Separation and Machine Learning by Igor Podlubny
Cover of the book Bioengineering for Surgery by Igor Podlubny
Cover of the book The Neurobiology of Circadian Timing by Igor Podlubny
Cover of the book Anticancer Treatments and Cardiotoxicity by Igor Podlubny
Cover of the book New and Future Developments in Catalysis by Igor Podlubny
Cover of the book Inhaled Pharmaceutical Product Development Perspectives by Igor Podlubny
Cover of the book Neuropsychology of Space by Igor Podlubny
Cover of the book Pulmonary Endocrine Pathology by Igor Podlubny
Cover of the book Operating System Forensics by Igor Podlubny
Cover of the book Handbook of Digital Forensics and Investigation by Igor Podlubny
Cover of the book Oral Physiology and Occlusion by Igor Podlubny
Cover of the book Human Stem Cell Manual by Igor Podlubny
Cover of the book Serpin Structure and Evolution by Igor Podlubny
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy