Not only does this text explain the theory underlying the properties of the generalized operator, but it also illustrates the wide variety of fields to which these ideas may be applied. Topics include integer order, simple and complex functions, semiderivatives and semiintegrals, and transcendental functions. 1974 edition.
Not only does this text explain the theory underlying the properties of the generalized operator, but it also illustrates the wide variety of fields to which these ideas may be applied. Topics include integer order, simple and complex functions, semiderivatives and semiintegrals, and transcendental functions. 1974 edition.
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
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.
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