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Erschienen in:
1997 | OriginalPaper | Buchkapitel
Fractional Calculus
Some Numerical Methods
verfasst von : R. Gorenflo
Erschienen in: Fractals and Fractional Calculus in Continuum Mechanics
Verlag: Springer Vienna
Enthalten in: Professional Book Archive
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A survey is given on some numerical methods of Riemann-Liouville fractional calculus. The topics discussed here will be: (a) approximation of fractional derivatives by generalized finite differences and their use in numerical treatment of fractional differential equations, (b) discretized fractional calculus and its use in numerical treatment of Abel type integral equations of first and second kind, (c) product integration and collocation methods for Abel integral equations, (d) the problem of ill-posedness of Abel integral equations of first kind.