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

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.