Fractional derivative

Asked May 07 '17 at 02:10

Active May 07 '17 at 02:10

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It is mathematically, or symbollicly possible take the $n^{th}$ derivative of a function $f$ for values of n other than natural numbers? (or as I like to call it: literal partial derivatives). That is:

$$\frac{d^nf}{dx^n}(x),n∉ℕ_1$$ Perhaps for $n=\frac{1}{2}$: "the the square root of the change of $f$ with respect to the square root of $x$"

asked May 07 '17 at 02:10

Graviton

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Yes: https://en.wikipedia.org/wiki/Fractional_calculus – Travis Willse May 07 '17 at 02:14
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The fact that the OP used the term "Fractional Derivative", a fairly obscure term, and yet asked this feels a bit suspicious to me – Brevan Ellefsen May 07 '17 at 02:53
@BrevanEllefsen I'm actually surprised as well. Just a coincidence though. A few seconds before posting I switched the title from "Literal partial derivative" to "fractional derivative" as it seemed to make more sense. – Graviton May 07 '17 at 03:10
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There is a reason its called a fractional derivative, sometimes we Mathematicians can name things without Euler in it, and then they usually explain themselves. – Vedvart1 May 07 '17 at 03:23
Possible duplicate of Non integer derivative of $1/p(x)$ – Alex M. May 07 '17 at 07:54

Fractional derivative

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