March 2001 - 010301
CISM chapter on numerical methods of Fractional Calculus by Gorenflo
(to download)
We are pleased to offer to the interested visitor of the WEB site
www.fracalmo.org the possibility of down-loading the chapter
by R. Gorenflo "Fractional Calculus: some numerical
methods" appeared in the book "Fractals and Fractional Calculus
in Continuum Mechanics" edited by A. Carpinteri and F. Mainardi,
Springer Verlag, New-York and Wien, 1997, pp. 277-290.
dowload
the pdf file: rgcism10.pdf (122 kb)
This chapter can be considered a concise course on Numerical
methods for Riemann-Liouville Fractional Calculus. In this chapter the
references are till 1997.
From 1997 several contributions on this topic have been appeared, including:
- the PhD thesis (in German) of Gorenflo student Alain Roger Nkamnang:
"Diskretisierung von mehrgliedrigen Abelschen Integralgleichungen
und gewöhnlichen Differentialgleichungen gebrochener Ordnung"
(Discretization of multi-term fractional integral and ordinary differential
equations)
[downloadable at www.diss.fu-berlin.de/1999/23/index.html]
- the paper by I. Podlubny,
"Matrix approach to discrete fractional calculus",
Fractional Calculus and Applied Analysis, Vol. 4 No 4 (2000), 359-386.
[www.diogenes.bg/fcaa]
- the papers by K. Diethelm,
see fracalmo news 010302
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