- fractional calculus modelling


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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  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]

- 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