Beschreibung:
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.
This text explains the theory underlying the properties of the generalized operator and its many applications. Topics include integer order, functions, semiderivatives and semi-integrals, and applications in calculus and diffusion problems. 1974 edition.
1. Introduction2. Differentiation and Integrations to Integer Order3. Fractional Derivatives and Integrals: Definitions and Equivalences4. Differintegration of Simple Functions5. General Properties6. Differintegration of More Complex Functions7. Semiderivatives and Semiintegrals8. Techniques in the Fractional Calculus9. Representation of Transcendental Functions10. Applications in the Classical Calculus11. Applications to Diffusion ProblemsReferencesIndex