Heavy Cream and Fresh Cream are almost the same thing as in the ingredients being the same for the cream.
But Fresh Cream is a lighter and less thick cream than Heavy Cream.
Heavy Cream is a thicker cream than Fresh Cream and heavy cream will whip better and hold its shape longer than fresh cream.
Fresh cream contains less fat content than heavy cream and fresh cream contains only 30 % fat content while Heavy Cream contains around 36% to 39% of fat content.
The heavy cream is also a richer cream than the fresh cream.
If you need to use heavy cream for a recipe then you should use heavy cream and do not substitute it for fresh cream otherwise the recipe won't turn out as good as it should.