GNU/Linux Installing New Kernel Guide
Hi! The linked Tutorials Show you Step-by-step How to Install a New Kernel in GNU/Linux Distributions.
Especially relevant: for then Non Ubuntu based Distros then only choice is often to build a Custom Kernel from Source Code.
Instead, on the Ubuntu Based OSes possibly you dispose also of a Repository of Kernel Prebuilt Images.
Again, on Ubuntu based Desktops an easy Kernel Update may be achieved with the Mainline UI Tool.