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This is a MATLAB routine for evaluating the Mittag-Leffler function with two parameters (sometimes also called generalized exponential function).
The Mittag-Leffler function with two parameters plays an important role and appears frequently in solutions of fractional differential equations (i.e. differential equations containing fractional derivatives).
USAGE:
MLF(alpha,beta,Z,P) is the Mittag-Leffler function E_{alpha,beta}(Z) evaluated with accuracy 10^(-P) for each element of Z.
Update 2009-03-25:
(1) Now Z can also be a two-dimensional array.
(2) Addressed the issue reported by Li Jackie. It was caused by rounding errors during computations.
Update 2012-09-07:
(1) Addressed the potential issue reported by Brian Bigler.
(2) Code clean up.
Cite As
Igor Podlubny (2026). Mittag-Leffler function (https://www.mathworks.com/matlabcentral/fileexchange/8738-mittag-leffler-function), MATLAB Central File Exchange. Retrieved .
General Information
- Version 1.2.0.0 (2.74 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 1.2.0.0 | Addressed the potential issue reported by Brian Bigler. Code clean up. |
||
| 1.1.0.0 |
(1) Now Z can also be a two-dimensional array.
|
||
| 1.0.0.0 | minor update (thanks to Dominik Sierociuk for his feedback) |
