Conceptfractional derivative
Fractional Derivative
The fractional derivative is a generalization of the derivative in calculus that extends the order of differentiation from integers to real or complex numbers. It has important applications in spectral analysis and regularization theory.
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Oct 15
Fractional-order derivatives are defined via the Fourier transform as F[D^α f](ξ) = (iξ)^α F[f](ξ), providing a continuously adjustable differentiation strength.
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