# Can we define the non-integer derivation of a function?

We know that $\frac{d^{n}e^{x}}{dx^{n}}=e^{x}$. Can we define the $n$th derivation of $e^{x}$ which $n$ is a real number?!!!

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Short answer: YES. – glebovg Dec 15 '12 at 4:18
@PatrickDaSilva: Honestly, I said him to fix it frequently ,but nothing's appeared! – Babak S. Dec 15 '12 at 7:15

Absolutely! You can search for "fractional derivative" to find a lot of beginners and advanced oriented material. The general theory (i.e., not only fractional derivatives of $e^x$) not only makes sense mathematically but has many applications.