I rescue a lot of kittens, normally at 10 days old to 3 weeks. When I wean, I actually mix baby cereal with their replacer milk. It allows it to get harder, but they can still suck it if they want. I slowly add in more and more until by the end of a week they are eating a mush. I also add a little wet food each time. By the end of 2 weeks, they are normally completely eating partially solid wet food.
If they are 5 weeks, they probably will only want to eat 2-3 times a day. My last kittens were a little over a year ago, but I'm pretty sure by then I was only feeding them 2-3 times a day. I think I fed them around 10, and then at 6. If you want, once they start eating a mash, you can put down a little bit around lunch and see if they eat it.