Here are your parts includes a wiring diagram.
Parts for Frigidaire GLEF379DCH Range - AppliancePartsPros.com

There is no fuse in the unit that would kill power to the control board.

Check the wiring from the terminal strip to the control board.
Do this with the unit unplugged.

Could be a power problem.
Your control board runs off of 120 volts (L1 to Neutral).
What can happen if you loose the L1 side of the line is that the L2 side of the line can feed through an infinite switch when on and this then powers up the board.

I would start by checking your power.
Try flipping the breaker off/on slowly, sometimes you can loose half the line without actually tripping the breaker.
If this does nothing, check the voltage at the plug
L1 to L2 should be 240 volts
L1 to Neutral and L2 to Neutral, both should be 120 volts.
If OK
Unplug the unit and check the wires at the terminal strip in the machine to make sure none are loose or burned out
If OK
Check the power at the terminal strip.
Be careful as 240 volts is lethal !!! [COLOR="Red"]
[/COLOR]
I am going to the cottage for a few days so will not be available.
When the forum is busy if other regular posters see that the post is being answered they do not have the time to check the post. So If you require help when I am gone you may want to start a new post with a blurb about what you have done so far and a link to your original post.