Newbie Question on Storage Cabinet Repair

In our garage we have built in storage cabinets made from particle
board. One of the cabinet doors was left slightly open and one of our
vehicles caught it and ripped out the hinges leaving the frame that the
hinges were attached to with gaping screw holes and some of the board
itself missing. My idea was to either cut out the damaged areas and
replace with new particle board using Gorilla Glue or find some sort of
compound that can worked into the particle board, left to dry and then
hardens to the point that it can be worked like wood. What this
compound is or if such exists I don't know.

I am in possesstion of only a circular saw, drill and small router.
Any ideas/suggestions on this approach or other ways to go about this
would greatly appreciated.

The hinges are sort of peculiar looking as they require a cut/slice
into the door piece in order to fit. I would post some photos I took
of the situation in order to make this more clear but I see no option
to attach photos when posting in this group.

Thanks

John