"circular" operators, "circular" derivatives, and "circular" tetration.

[tommy1729]

Maybe I know little about fractional derivatives.

It says your Math Skill Level is Professor, so you should know about fractional derivatives.

Yes and I know many of them.

That IS the point.

And I know things get weird such as integrals do not work with that formula,

Or the fractional of a constant is nonconstant,

Every method has properties.

But why they would be prefered to functional equations is another matter.

Sure there are uniqueness criterions.

But those criteria belong more to the fractional derivative then to the tetration usually.

I do not have to justify myself against you btw.

So we got

D^s exp(z) = z for all complex s and z.

So what ?

Regards 

Tommy1729