Fractional Derivative

A vectorized implementation of the left hand side grunwald letnikov operator for sampled functions

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this implementations use a vectorized form of the following formula to calculate the binomial coefficients
convolution matrix using the binomial coefficients , can be seen as sum of a toeplitz matrix and a lower triangular matrix filled with ones
the product of the matrix and the sample function results in the approximation of the derivative

Cite As

Jafet Ríos Durán (2026). Fractional Derivative (https://www.mathworks.com/matlabcentral/fileexchange/108144-fractional-derivative), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired by: Fractional Derivative

Inspired: Fractional Derivative using FFT

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.0.1

there was an error in the binomial coefficients formula

1.0.0