Fractional Derivative of Sine

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This Demonstration calculates fractional derivatives of the sine function.

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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.

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Contributed by: Jorge Gamaliel Frade Chávez (March 2011)
Open content licensed under CC BY-NC-SA


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