This volume presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. Beyond some basic properties of fractional integrals in one and many dimensions, it contains a mathematical theory of certain important weakly singular integral equations of the first kind arising in mechanics, diffraction theory and other areas of mathematical physics. The author focuses on explicit inversion formulae that can be obtained by making use of the classical Marchaudìs approach and its generalization, leading to wavelet type representations.
| ISBN: | 9780582253414 |
| Publication date: | 24th June 1996 |
| Author: | Boris Rubin |
| Publisher: | Chapman & Hall/CRC an imprint of Taylor and Francis |
| Format: | Hardback |
| Pagination: | 409 pages |
| Series: | Pitman Monographs and Surveys in Pure and Applied Mathematics |
| Genres: |
Differential calculus and equations Applied mathematics Mathematical physics |
This volume presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. Beyond some basic properties of fractional integrals in one and many dimensions, it contains a mathematical theory of certain important weakly singular integral equations of the first kind arising in mechanics, diffraction theory and other areas of mathematical physics. The author focuses on explicit inversion formulae that can be obtained by making use of the classical Marchaudìs approach and its generalization, leading to wavelet type representations.
Fractional Integrals and Potentials features in the following genres: Differential calculus and equations, Applied mathematics, Mathematical physics
Fractional Integrals and Potentials is available in Hardback
Fractional Integrals and Potentials was written by Boris Rubin and published by Chapman & Hall/CRC an imprint of Taylor and Francis
Fractional Integrals and Potentials has 409 pages
Yes it is part of Pitman Monographs and Surveys in Pure and Applied Mathematics series