9873
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Fractional Derivative of a Power
Jorge Gamaliel Frade Chávez
Incomplete Gamma Function with Continued Fractions
Andreas Lauschke
Boole Differential Equation with Continued Fractions
Andreas Lauschke
Second-Order Partial Derivatives
Joshua Sabloff and Stephen Wang (Haverford College)
Directional Derivatives in 3D
Abby Brown
An Ordinary Fractional Differential Equation
Jorge Gamaliel Frade Chávez
Derivatives of Sine
Amedee d'Aboville
Approximating the Riemann Zeta Function with Continued Fractions
Andreas Lauschke
Fermat's Theorem on Stationary Points
Julio Cesar de la Yncera
Cauchy Mean-Value Theorem
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Related Topics
3D Graphics
Analysis
Calculus
Derivatives
Special Functions
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+