March 2001 - 010301
CISM chapter on numerical methods of Fractional Calculus by Gorenflo
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.
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
[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.
- the papers by K. Diethelm,
see fracalmo news 010302