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Fractional Derivative of Sine
This Demonstration calculates fractional derivatives of the sine function.
The definition of the fractional derivative of a function
is
,
for
and
, and
,
where
is any postive integer greater than
.
The fractional derivative of the sine function works out to be
.
"3D View" plots the surface of the function
and the red curve in either view is the graph of
for constant α.
Contributed by:
Jorge Gamaliel Frade Chávez
THINGS TO TRY
Rotate and Zoom in 3D
Automatic Animation
SNAPSHOTS
RELATED LINKS
Fractional Derivative
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Fractional Derivative of Sine
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FractionalDerivativeOfSine/
Contributed by:
Jorge Gamaliel Frade Chávez
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