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MathGroup Archive 1997

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Re: fractional derivative

  • To: mathgroup at smc.vnet.net
  • Subject: [mg8515] Re: fractional derivative
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Thu, 4 Sep 1997 02:20:08 -0400
  • Organization: University of Western Australia
  • Sender: owner-wri-mathgroup at wolfram.com

Jaime Y. Hernandez Jr. wrote:

> I tried to solve for the Inverse Laplace
> Transform of a function with the independent variable "s" raised to a
> fraction between 0 and 1. Mathematica simply returned what I inputed.

Keep your power generic when computing the InverseLaplaceTransform:

	In[2]:= InverseLaplaceTransform[s^k, s, t]
	Out[2]= t^(-k - 1)/Gamma[-k]

You now have the _general_ transform and can substitute in s in [0,1].

Cheers,
	Paul 

____________________________________________________________________ 
Paul Abbott                                   Phone: +61-8-9380-2734
Department of Physics                           Fax: +61-8-9380-1014
The University of Western Australia           
Nedlands WA  6907                     mailto:paul at physics.uwa.edu.au 
AUSTRALIA                              http://www.pd.uwa.edu.au/Paul

            God IS a weakly left-handed dice player
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