Is there a big recoil difference in a 38 and 380 pistol?

The 38 special will be in a revolver and the 380 ACP most probably a semi-auto. However some of the energy of the bullet is used to eject and reload the 380 which dampens the recoil a bit. Also the .38 special is actually 0.357 " diam and the 380 is 0.355". The upshot of it all is that the .38 would have more recoil.