SimReal: Differentiation - Fractional Derivative | ![]() |
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Fractional Derivative This application is under construction. Given the function (blue color): y = x The integral of the given function (black color, curved): y = 1/2·x2 The derivative of the given function (black color, horizontal line): y = 1 The fractional derivative (default half derivative) of the given function (red color): Riemann-Liouville: y = 1.128379·x0.5 Caputo : y = 1.128379·x0.5 JCAM 2014 : y = x0.5By the help of the scrollbar, you can change the derivative fraction: n = 0 : The given function itself n є <0,1] : Differentiation n є [-1,0> : IntegrationIn this example the result of Riemann-Liouville and Caputo will be equal. Mark the checkbox 'JCAM 2014' to see the result of this fractional derivative. |