Re: What is -- Fractional integro-differentiation
- To: mathgroup at smc.vnet.net
- Subject: [mg38223] Re: What is -- Fractional integro-differentiation
- From: atelesforos at hotmail.com (Orestis Vantzos)
- Date: Thu, 5 Dec 2002 03:35:57 -0500 (EST)
- References: <askfus$l1q$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
I am as surprised about this as you are...
Anyway, in the url you specified, there is a definition for
D[z^a,{z,b}] for fractional(?) b.
Setting issues of convergence aside, one could expand f[z] in a power
series and apply the formula to each term, getting effectively
D[f[z],{z,b}].
The point of this procedure escapes me though...
Orestis
"Ersek, Ted R" <ErsekTR at navair.navy.mil> wrote in message news:<askfus$l1q$1 at smc.vnet.net>...
> Fractional integro-differentiation is discussed at
> http://functions.wolfram.com/ElementaryFunctions/Power/20/03/
>
> I never herd of this.
> Is this where we compute something like D[f[x],{x,1/2}].
> If yes, what is the definition of such a thing?
> I always assumed the (n) in D[f[x],{x,n}] had to be an Integer.
>
> ------------
> Thanks,
> Ted Ersek