Requirements:

All motorized and non-motorized conveyances (kayaks, canoes, paddle boards, etc.) need to be inspected prior to launching in Wyoming, if they are coming from out of state, between March 1 and November 30. If the conveyance was last used in an infested water within the last 30 days, they need to be inspected regardless of the time of year. Anyone passing an open AIS check station must stop for an inspection, regardless of where that conveyance has last been.

More details regarding those requirements can be found here: 
https://wgfd.wyo.gov/Fishing-and-Boating/Aquatic-Invasive-Species-Prevention/AIS-Boating-Information

Most conveyances need a motorized or non-motorized AIS decal, with a few exceptions, such as paddleboards. Those exemptions are found here: 
https://wgfd.wyo.gov/WGFD/media/content/PDF/Fishing/AIS_DECALREQUIREMENT.pdf

The fee structure is different depending on residency and the link to those details is here: 
https://wgfd.wyo.gov/Fishing-and-Boating/Aquatic-Invasive-Species-Prevention/AIS-Decal