[7kay]

I'm interested in fractional calculus.

It all started with an argument I had with my high school math teacher about whether something like a half derivative is a thing. Turns out fractional calculus is a real thing and shows up in many applied areas of math. The Fractional Calculus by Oldham and Spanier I have lying around treats its applications to diffusion problems, for example. As an EE student fractional PID controller design and fractional signal processing are interesting as well.

For a quick peek into that subject I would recommend watching Dr Peyam's videos on half derivatives[0].

[0]: https://www.youtube.com/watch?v=eB3OUl5TVSY