Variable Order Derivatives
Functions for implementing fractional or complex order derivatives, when the order changes with time
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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 (2026). Variable Order Derivatives (https://se.mathworks.com/matlabcentral/fileexchange/24444-variable-order-derivatives), MATLAB Central File Exchange. Retrieved .
Acknowledgements
Inspired by: Gamma
General Information
- Version 1.4.0.0 (139 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 1.4.0.0 | Files for variable order, linear phase Crone approximations have been added. |
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| 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. |
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| 1.2.0.0 | Required function gamma.m (from http://www.mathworks.com/matlabcentral/fileexchange/3572) now included. |
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| 1.1.0.0 | Simulink files for complex orders now provided. |
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| 1.0.0.0 |
