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

vcubingx | The Fractional Derivative, what is it? | Introduction to Fractional Calculus @vcubingx | Uploaded 5 years ago | Updated 1 hour ago
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:
youtube.com/watch?v=skvnj67YGmw
youtube.com/watch?v=Cld0p3a43fU

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

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Music by ChillHop

#calculus #fractional #math

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

Sources: 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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$The Fractional Derivative, what is it? | Introduction to Fractional Calculus This video explores another branch of calculus, fractional calculus. It talks about the Riemann–Liouville Integral and the Left Riemann–Liouville Fractional Derivative, and ends with an application to the Tautochrone Problem. Brachistochrone: https://www.youtube.com/watch?v=skvnj67YGmw https://www.youtube.com/watch?v=Cld0p3a43fU This video was mostly a video adaptation of this article: https://medium.com/cantors-paradise/fractional-calculus-48192f4e9c9f Follow Me! https://instagram.com/vcubingx https://github.com/vivek3141 https://twitter.com/vcubingx Music by ChillHop #calculus #fractional #math This video was animated using manim: https://github.com/3b1b/manim Source code for the animations: https://github.com/vivek3141/videos Sources: https://docs.google.com/document/d/1KNcPoYom2UbF5nyH2tmktfs67kyL7-upfiRKbqu BM/edit?folder=0AF8kt9Iej-LyUk9PVA 0:00 Introduction 1:20 Fractional Integration 6:31 The Left R-L Fractional Derivative 11:22 The Tautochrone Problem$ $Why does π show up in the Mandelbrot Set? #maths #science #fractal #physics #mathematics #animation$

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