Wiki tells us that Fine Art Photography (FAP) is photography created in accordance with the vision of the artist as photographer. Fine art photography stands in contrast to representational photography, such as photojournalism, which provides a documentary visual account of specific subjects and events, literally re-presenting objective reality rather than the subjective intent of the photographer; and commercial photography, the primary focus of which is to advertise products or services.
Of all the types of FAP, the one that I'm drawn to is Black and White fine art photography; which leads to discussing post processing.
There are many tools out there and some are real bargains: for instance Google's free Silver Efex Pro: https://www.google.com/nikcollection/products/silver-efex-pro/
In addition to such 'plug-ins', anyone trying to undertake B&W FAP work is well advised to exploit luminosity masks. Once again, there are a few tools out there. From personal experience I would suggest you look at TK Actions, ADPpanel+ or lumenzia
A rather new boy on the block is the B&W Fine Arts Adjustment Panel from Joel Tjintjelaar
Joel has also written about FAP: here
The following images, of a couple of the buildings at the Getty Centre, were taken with my Canon EOSM. Post processing started in Lightroom and progressed to Photoshop-CC, where I made use of Joel's new panel.
Although Photoshop, on its own, is a powerful tool: there is no doubt in my mind that the addition of some of the above 'plug-ins', or all of them, is a great way to take PS to the next level.