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.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers6
Suggested Problems
-
Which values occur exactly three times?
5077 Solvers
-
3368 Solvers
-
Count from 0 to N^M in base N.
235 Solvers
-
Longest run of consecutive numbers
5484 Solvers
-
103 Solvers
More from this Author272
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!