How to construct a function in Mathematica that can perform n times Caputo derivatives inductively to a function u(x) with one variable with order [Alpha] where alpha is between 1 and 0 .
for example ; I want to compute D^(1/2) n-times to a given function.
so the inputs are (alpha ,n,a function u(x))
output are (n times Caputo derivative of u(x) of order alpha ) .
With version 13.1 it became built-in: