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Fractional derivative and integral using Grundwald-Letnikov defintion

Created Donnerstag 28 April 2016

Fractional Integral


Given , then
Integer order integral occurs when : (pink line, parabolic curve).
Fractional integral occurs when .
See the animated GIF below.

Fractional Derivative


Given , then
Integer order derivative occurs when : (pink line, horizontal straight line).
Fractional derivative occurs when .
See the animated GIF below.

Implementation


Uploaded to: https://github.com/auralius/fractional-derivative-integral

References


http://www3.nd.edu/~msen/Teaching/UnderRes/FracCalc1.pdf