fractional Definition and 206 Threads

from the expression for a Fractional integral of arbitrary order: D^{-r}=\frac{1}{\Gamma(r)}\int_c^xf(t)(x-t)^{r-1} if we set r=-p then we would have for the Fractional derivative: D^{p}=\frac{1}{\Gamma(-p)}\int_c^xf(t)(x-t)^{-(p+1)} is my definition correct?..i mean if its correct...

Last year I made a more modern version of a QM simulation I did a long long time ago, It makes movies of time evolutions of arbitrary wave functions in a QM harmonical oscillator. (You can see the movies via the links below) http://www.chip-architect.com/physics/gaussian.avi...

hello reader i have a problem understanding the following type of equation. (n+x)/nth root of x n being a fixed numerical value and x being the unknown how would i differentiate such a problem an example of this is: (1+x)/4th root x thank you

...having at least one fixed point. let g be a given function with fixed point p. say g is defined on R though it could be C. here's how we can approximate the fractional iterates of g: expand the series for the nth iterate of g, denoted g^n, about p. g^n(p)=p...

Instead of superstrings having 10 unitary dimensions (6 of compactified space and 3+1 of ordinary spacetime), imagine these 6 compactified spatial dimensions being of fractal value (3/6=1/2) relative to the 3 apparent dimensions of space. This corresponds as a dimensional duality to the 6...

Such as sqrt 5: (2.236067977...) Start with the fractional seeds 2/1, 9/4,... New members are generated (both numerators and denominators) by the rule new member = 4 times the current plus the previous. Which generates the progrssion 2/1, 9/4, 38/17, 161/72, 682/305, 2889/1292...