Is it just crumblin or is it even broken.
Is it a cosmetic or a constructive porblem?
If it is just cosmetic, clean the concrete and make a coat with epoxy resin on it.
If it is to slippery disperse a little quartz sand in the wet epoxy, right after you coated it.
With the quartz sand you can configurate a special look (colour - women like bling-bling, and grain size).
If there is a little artist in you, you can even create a picture or any kind of motive with different coloured sand.
If it is going to get broken, take the concrete out and lay macadam therefore or plaster it with concrete bricks.
All of that will be cheaper than the concrete version.
The macadam is a little more abrasive, but that doesn´t bother by the way you are forcing it.
It is first of all just more flexible.
The plaster can work a little and won´t brake.
If you have enough from it, you can change it easily.
That´s what I would do.