<p>Yes, you can use residual networks in fully connected networks. Skipped connections help the learning for fully connected layers.</p>
<p>Here is a nice paper (not mine unfortunately) where it is done and where the authors explain in detail why it helps the learning. <a href="https://arxiv.org/pdf/1701.09175.pdf" rel="nofollow noreferrer">https://arxiv.org/pdf/1701.09175.pdf</a></p>
Does it make sense to build a residual network with only fully connected layers (instedad of convolutional layers)?
<p>Residual networks are always built with convolutional layers. I have never seen residual networks with only fully connected layers. Does it work to build a residual network with only fully connected layers?</p>