Caputo Derivative

It calculates and visualizes the Caputo fractional derivatives of a given function f(t) with respect to time t.

This script calculates and visualizes the Caputo fractional derivatives of a given function f(t) with respect to time t. It defines a time vector t, a function f(t), and a range of fractional derivative orders alpha. Then, it computes the Caputo fractional derivatives for each alpha value using a numerical method. Finally, it plots the original function, its derivative, and the Caputo fractional derivatives for each alpha value.