# 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
@aliakbar : You should really go work on your accept rate. When you ask a question and someone answers with an answer you like, you can not only upvote but you can also "accept" the answer you consider best (if you got many). To do this, simply click the check below the downvote arrow on the answer you like best. When you have a good accept rate, people are more willing to answer your questions. –  Patrick Da Silva Dec 15 '12 at 5:27
@PatrickDaSilva: Honestly, I said him to fix it frequently ,but nothing's appeared! –  B. 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.