Generally speaking, non-native speakers get hung up on the adverb forms
of these words: especially, specially. It's the first time I've seen
this question with the adjectives.
Here's the best explanation I've found...
194 especial(ly) and special(ly), pg.187
*Especial(ly)* and *special(ly)* can often both be used with the same
meaning.
It was not (e)specially cold.
*Especially* is used to mean 'above all'.
I play a lot of tennis, especially on Sundays.
It rains a lot, especially in the north.
The children are very noisy, especially when we have visitors.
I like all kinds of fruit, especially apples.
*Especially* follows a subject.
All my family likes music. My father, especially, goes to as many
concerts as he can. (NOT...Especially my father goes...)
*Specially* is used to mean 'for a particular purpose'.
These shoes were specially made for me.
The adjective *especial* is rare. We normally use *special.*
He took special trouble over his work.
SOURCE: Practical English Usage, 2nd edition, Michael Swan
> Especial x special
>
> Is there any difference between them?
>
> Thanks.