What If I told you I can find infinite functions that equal their own derivative?

Take some fractional differentiation method which differentiates f across s, t times. Now assume that:

for some s in some set , which can be easily constructed using some theorems I have.

Then:

If you differentiate by the continuity of this improper integral

What does this mean? How did I get this? Where is the mistake?

Take some fractional differentiation method which differentiates f across s, t times. Now assume that:

for some s in some set , which can be easily constructed using some theorems I have.

Then:

If you differentiate by the continuity of this improper integral

What does this mean? How did I get this? Where is the mistake?