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Results tagged with fractional-calculus
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user 50777
Questions regarding derivatives and integrals of non-integer order.
7
votes
Can we interpret fractional Sobolev spaces in terms of fractional derivatives?
Yes, such an interpretation exists, at least in the following case.
Take $p = 2$, $n = 1$ and $\Omega = (0,1)$. Then, for $0 < s < 1$,
$$
\| f \|_{H^s(0,1)} \approx \| \partial_t^s f \|_{L^2(0,1)}
$$ …
- 981