You could use the Riemann-Liouville integral (see
http://en.wikipedia.org/wiki/Riemann?Liouville_integral).
-Alasdair
On Sun, Mar 14, 2010 at 10:12 PM, Janek Kozicki <janek_listy at wp.pl> wrote:
> Hi,
>
> is it possible to calculate fractional derivatives or integrals? And
> do some fractional calculus in general?
>
> For instance I did:
>
> (%i1) x^2;
> (%i2) diff(%,x,0.5);
> (%i3) plot2d([%], [x,-5,5]);
>
> and I got some errors instead of a plot.
>
> When I explicitly define, a fractional derivative of x^n then it
> "sort of" works, but then, how to push it forward with derivatives of
> anything more complex than x^n ?
>
> (%i1)
> fractional_derivative_of_x_n(x,n,k):=(gamma(k+1)/gamma(k-n+1))*x^(k-n);
>
>
> --
> Janek Kozicki http://janek.kozicki.pl/ |
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