There are no official Super Mario games released for the Sony PSP. Nintendo owns the Mario franchise and has historically kept Mario titles exclusive to its own hardware (Game Boy Advance, DS, 3DS, Wii, Wii U, Switch, etc.). Any claim of an official "Super Mario" game specifically for the PSP is inaccurate.
Emulation
Contrary to popular memory, there are . The Super Mario franchise is the flagship intellectual property of Nintendo, while the PSP was Sony’s direct competitor to the Nintendo DS. super mario psp games