The Fractional Derivative, what is it? | Introduction to Fractional Calculus

This video explores another branch of calculus, fractional calculus. It talks about the Riemann–Liouville Integral and the Left Riemann–Liouville Fractional Derivative, and ends with an application to the Tautochrone Problem.

Brachistochrone:
https://www.youtube.com/watch?v=skvnj67YGmw
https://www.youtube.com/watch?v=Cld0p3a43fU

This video was mostly a video adaptation of this article: https://medium.com/cantors-paradise/fractional-calculus-48192f4e9c9f

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Music by ChillHop

#calculus #fractional #math

This video was animated using manim: https://github.com/3b1b/manim
Source code for the animations: https://github.com/vivek3141/videos

Sources: https://docs.google.com/document/d/1KNcPoYom2UbF5nyH2tmktfs67kyL7-upfiRKbqu-_BM/edit?folder=0AF8kt9Iej-LyUk9PVA

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0:00 Introduction
1:20 Fractional Integration
6:31 The Left R-L Fractional Derivative
11:22 The Tautochrone Problem
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