Problem 52120. Compute the fractional derivative
Cody Problem 1370 asks us to compute the derivative of a polynomial. This problem extends that idea to fractional derivatives, which appear in some models of mixing in rivers and other applications. Denote the qth derivative as . Then a familiar example from calculus would be .
Fractional calculus involves derivatives in which the order q is not an integer. With and , then
Write a function that computes the fractional derivative of order q of an expression of the form
The first input to the function will be a 2xn matrix in which the first row is the coefficients and the second row is the exponents . The output should be in a similar form.
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