Top Mordekaiser vs Top Lane Carries (Tryndamere, Jax & Fiora)

Hello there,

So much for my first post on the boards ( I hope that I get some answer and insight for this little bout of courage!), but I recently got myself Mordekaiser and have been trying to learn the champ - finding him to be the weird mix of an AP Caster and a sort of bruiser, I've been really enjoying the gamplay he offers... the CC problem isn't that much of a big deal for me either when I have Rylai's + Ignite and Ult on someone I want dead.

There is a problem though, and it is these three people I've listed in the top lane. So far, summoners playing these champions have literally given me hell -- while I had early game dominance ( which didn't really make a difference ), the moment they hit lvl.3 or higher they began just bursting me down harder than I could, and I'd find myself actually being at threat while trying to CS because they could come in, hit me, then come out victorious of trades. Tryn's spin and crits just hit a lot harder than my spells, Fiora could dodge a chunk of damage from my Q and my E alone wasn't enough, and Jax had his retarded stun that I couldn't escape even if I ran away when I saw him starting the animation.

Should I try to poke them more and bully them more, focussing less on CS? Should I just be more cautious and only focus on CS, being safe as possible?

I'm sort of puzzled by this... or perhaps these three are very good counters for Morde top?