I am developing a STM32L431 based system. I have developed two bin files, one starting from 0x08000000 and the second starts from 0x0802f800. I can jump fom first program to the second in dubug mode. But in normal running mode, it doesn't jump to the 2nd.

[MM..1]

Your idea miss some points ... vector table , interrupts, stack

use same methods as described for bootloader jumping to app