Question: Fractional-order expansion of a function

Hi 
I am trying to expand a function f(t) in terms of fractional power series:
for example please see attached file tree.mw
 

``

restart

f := proc (x) options operator, arrow; exp(x) end proc:

alpha := 1/2:

N := 10:

f_approximate := proc (x) options operator, arrow; sum(a[i]*x^`iα`, i = 0 .. N) end proc


``


 

Download tree.mw

 

thanks 
    

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