The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order

The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order

by Keith B. Oldham, Jerome Spanier

Paperback

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Product Details

ISBN-13: 9780486450018
Publisher: Dover Publications
Publication date: 04/28/2006
Series: Dover Books on Mathematics Series
Pages: 256
Product dimensions: 5.50(w) x 8.50(h) x 0.54(d)

About the Author

Keith B. Oldham is Professor of Chemistry at Trent University in Ontario, and Jerome Spanier is a research mathematician at the University of California at Irvine.

Table of Contents

1. Introduction
2. Differentiation and Integrations to Integer Order
3. Fractional Derivatives and Integrals: Definitions and Equivalences
4. Differintegration of Simple Functions
5. General Properties
6. Differintegration of More Complex Functions
7. Semiderivatives and Semiintegrals
8. Techniques in the Fractional Calculus
9. Representation of Transcendental Functions
10. Applications in the Classical Calculus
11. Applications to Diffusion Problems
References
Index

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