"Can't open this page" error after upgrading to HTTPS

Some clients experienced "Can't open this page" error after we upgrade our server from http to https. I wish I can described more, but that's all the browser shows. Here's a screen shot of the problem:

Error screen shot

In most case it can be solved by deleting cookie on their browser. But a lot of our clients are not tech enthusiast, and hence deleting cookie can be troublesome.

Is there anything we can do on the server side to prevent these error from happening?

Note: We use php on apache server