Introducing the Fractional Derivative: the Caputo definition @FacultyofKhan

Uploaded April 2025 | Updated September 2026, 3 weeks ago

This video introduces the Caputo definition of the fractional derivative, and how it solves the issue of the derivative of the constant not being zero (via the Riemann definition).

Pre-requisites:
My video on the beta function: youtu.be/tdHznCufTzw
Previous videos in this playlist: youtube.com/playlist?list=PLdgVBOaXkb9Cdxb9aPWgl0tb8aSkwmo6W

Lecture Notes: drive.google.com/file/d/1X4l1xCmPk4I1G8QZfbGQfq8nk8nmyz5W/view?usp=drive_link

Special thanks to my Patrons:
Patapom
Eugene Bulkin
Andy Johnston
Patrick Gibson
Joseph Dubeau
David Johnston

$Introducing the Fractional Derivative: the Caputo definition This video introduces the Caputo definition of the fractional derivative, and how it solves the issue of the derivative of the constant not being zero (via the Riemann definition). Pre-requisites: My video on the beta function: https://youtu.be/tdHznCufTzw Previous videos in this playlist: https://www.youtube.com/playlist?list=PLdgVBOaXkb9Cdxb9aPWgl0tb8aSkwmo6W Lecture Notes: https://drive.google.com/file/d/1X4l1xCmPk4I1G8QZfbGQfq8nk8nmyz5W/view?usp=drive_link Special thanks to my Patrons: Patapom Eugene Bulkin Andy Johnston Patrick Gibson Joseph Dubeau David Johnston$

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