Overview
- Provides a detailed mathematical description of the class fractional differential operators that is most important in applications in physics, engineering, etc.
- Bridges the gap between aspects from pure mathematics and application-oriented questions Contains a solid mathematical foundation on which researchers from outside of mathematics can build their models Is written in a style suitable for use as textbook
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2004)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (8 chapters)
-
Fundamentals of Fractional Calculus
-
Theory of Fractional Differential Equations
Keywords
About this book
Reviews
From the reviews:
“This book treats a fast growing field of fractional differential equations, i.e., differential equations with derivatives of non-integer order. … The book consists of two parts, eight chapters, an appendix, references and an index. … The book is well written and easy to read. It could be used for, a course in the application of fractional calculus for students of applied mathematics and engineering.” (Teodor M. Atanacković, Mathematical Reviews, Issue 2011 j)
“This monograph is intended for use by graduate students, mathematicians and applied scientists who have an interest in fractional differential equations. The Caputo derivative is the main focus of the book, because of its relevance to applications. … The monograph may be regarded as a fairly self-contained reference work and a comprehensive overview of the current state of the art. It contains many results and insights brought together for the first time, including some new material that has not,to my knowledge, appeared elsewhere.” (Neville Ford, Zentralblatt MATH, Vol. 1215, 2011)
Authors and Affiliations
Bibliographic Information
Book Title: The Analysis of Fractional Differential Equations
Book Subtitle: An Application-Oriented Exposition Using Differential Operators of Caputo Type
Authors: Kai Diethelm
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-14574-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Softcover ISBN: 978-3-642-14573-5Published: 03 September 2010
eBook ISBN: 978-3-642-14574-2Published: 18 August 2010
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 247
Number of Illustrations: 10 b/w illustrations
Topics: Ordinary Differential Equations, Integral Equations, Analysis