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Generalized fractional calculus and applications

Author: Virginia Kiryakova
Publisher: Harlow, Essex, England : Longman Scientific & Technical ; New York : Wiley, 1994.
Series: Pitman research notes in mathematics series, 301.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Provides a combination of the British traditions in calculus with an extensive use of the G- and H-functions used exclusively by mathematicians in India. The text is suitable for researchers,  Read more...

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Document Type: Book
All Authors / Contributors: Virginia Kiryakova
ISBN: 0582219779 9780582219779
OCLC Number: 28183171
Description: 388 pages ; 26 cm.
Contents: 1. Generalized operators of fractional integration and differentiation. 1.1. Definitions and examples of the generalized fractional integration operators. 1.2. The [actual symbol not reproducible]-operators as integral transforms of convolutional type and as compositions of Erdelyi-Kober operators. 1.3. Basic properties of Riemann-Liouville type generalized fractional integrals. 1.4. Some properties of Weyl type generalized fractional integrals [actual symbol not reproducible]. 1.5. Generalized operators of fractional differentiation. Inversion formula for the operators [actual symbol not reproducible]. 1.6. Properties and examples of generalized (multiple) Erdelyi-Kober derivatives --
2. Recent aspects of classical Erdelyi-Kober operators. 2.1. Convolutions of the Erdelyi Kober fractional integration operators. 2.2. Dzrbashjan-Gelfond-Leontiev operators of generalized differentiation and integration. Convolutions. 2.3. Representations of the commutants of Dzrbashjan-Gelfond-Leontiev integration operators. 2.4. Borel-Dzrbashjan integral transform: operational properties and convolution --
3. Hyper-Bessel differential and integral operators and equations. 3.1. The hyper-Bessel operators as generalized fractional differintegrals. 3.2. Defining projectors (initial operators) of the hyper-Bessel operators. 3.3.
Series Title: Pitman research notes in mathematics series, 301.
Responsibility: Virginia Kiryakova.
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