Compute the fractional derivative - MATLAB Cody - MATLAB Central

Problem 52120. Compute the fractional derivative

Difficulty:
(20)
Rate
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 D^q x^a. Then a familiar example from calculus would be D^2 x^3 = 6 x.
Fractional calculus involves derivatives in which the order q is not an integer. With q = 1/2 and a = 2, then
D^{1/2} x^2 = 8 x^{3/2} / (3 sqrt(pi))
Write a function that computes the fractional derivative of order q of an expression of the form
f(x) = c­1 x^a1 + c2 x^a2 + c3 x^a3 +...
The first input to the function will be a 2xn matrix in which the first row is the coefficients ci and the second row is the exponents ai. The output should be in a similar form.
Solve

Solution Stats

30.0% Correct | 70.0% Incorrect
Last Solution submitted on Jun 28, 2024

Problem Comments

Solution Comments

Show comments
Who Deserves Your Praise? Discover the New Contribution Widget!
...
We are excited to announce another update to our Discussions area: the...

Problem Recent Solvers6

Suggested Problems

More from this Author292

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Go to top of page