They aren't trees, but blackberries do well in partial sun! I love our thornless blackberries :-)

Is the sun in the morning, or in the afternoon?

You are in zone 24, so here's a list of what supposedly does well in 24. Keep in mind your fruit may be less sweet and less flavorful in less sun, and look for trees on dwarfing rootstock so they don't shade each other out.

Here is a link that might be useful: fruit for sunset zone 24

Thanks for the replies and link. The sun hits late morning until early afternoon. No hot afternoon sun.

I would plant fig or blackberries. I tried apple in that little sun ( in a 15 gal can) There isn't enough sun to sweeten the fruit. Thornless blackberries would give you plenty of sweet fruit and you can train them anyway you like on a fun structure. Put christmas lights on first so you can enjoy the lights in winter or for a party.

Maybe a banana could fruit well there. Bananas are easy but you have to cut the old stalks down after fruiting and they're big and heavy to move. Nothing beats a fresh sweet home ripened banana. They are amazing. Store bananas are a just a hint of what a banana can be. Some of them have complex mixtures of flavors and perfumes. Everyone should try growing one once just to see how wonderful and rich tasting a banana can be.

Likewise for figs. Figs lose the amazing flavor after picking so to taste the magic you really need a tree or a friend with a tree.