Variable Order Derivatives

Version 1.4.0.0 (139 KB) by Duarte Valério
Functions for implementing fractional or complex order derivatives, when the order changes with time
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Updated 10 May 2010

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These functions calculate fractional or complex order derivatives, when the order changes with time. Riemann-Liouville, Caputo and Grünwald-Letnikoff definitions are provided; the three variations considered by Lorenzo and Hartley are considered. Fuzzy supervised implementations in Simulink, based upon Oustaloup's Crone approximations, are also provided.

Cite As

Duarte Valério (2024). Variable Order Derivatives (https://www.mathworks.com/matlabcentral/fileexchange/24444-variable-order-derivatives), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2007b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Acknowledgements

Inspired by: Gamma

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Version Published Release Notes
1.4.0.0

Files for variable order, linear phase Crone approximations have been added.
1.3.0.0

1) A nasty bug affecting variable complex order derivatives was fixed. 2) C^\infty interpolation of zeros and poles now uses exact Crone formulas only.
1.2.0.0

Required function gamma.m (from http://www.mathworks.com/matlabcentral/fileexchange/3572) now included.
1.1.0.0

Simulink files for complex orders now provided.
1.0.0.0