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 Current Topics in Experimental Endocrinology by Igor Podlubny
Cover of the book Chikungunya and Zika Viruses by Igor Podlubny
Cover of the book Jim Blinn's Corner: Notation, Notation, Notation by Igor Podlubny
Cover of the book Proteomics in Food Science by Igor Podlubny
Cover of the book Supercritical Fluid Chromatography by Igor Podlubny
Cover of the book Topological UML Modeling by Igor Podlubny
Cover of the book Quaternary Coral Reef Systems by Igor Podlubny
Cover of the book Hewer's Textbook of Histology for Medical Students by Igor Podlubny
Cover of the book Minimized Cardiopulmonary Bypass Techniques and Technologies by Igor Podlubny
Cover of the book McEvoy's Handbook of Photovoltaics by Igor Podlubny
Cover of the book Mesoscale Meteorological Modeling by Igor Podlubny
Cover of the book Essentials of 3D Biofabrication and Translation by Igor Podlubny
Cover of the book Advances in Clinical Chemistry by Igor Podlubny
Cover of the book An Introduction to Measure-Theoretic Probability by Igor Podlubny
Cover of the book Fundamentals of Biologicals Regulation 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