资源分类:Matlab 工具:MATLAB 7.8 (R2009a)



Fitting data using the Mittag-Leffler function

Two functions are provided for fitting data using the Mittag-Leffler function.


In MLFFIT1.M, just the Mittag-Leffler function in one parameter is used. In MLFFIT2, the Mittag-Leffler function in two parameters multiplied by a power function is used.


Two sample scripts are provided for the illustration of possible use.


These functions require the Mittag-Leffler function (FEX submission 8738); if it is not present, a one-time download is suggested.


This fitting method has been introduced and used in the following articles:


[1] D.Sierociuk, I.Podlubny, I.Petras, "Experimental evidence of variable-order behavior of ladders and nested ladders", IEEE Transactions on Control Systems Technology, 15 February 2012, DOI:10.1109/TCST.2012.2185932, available online at

(or preprint:


[2] I.Petras, D.Sierociuk, I.Podlubny, "Identification of parameters of a half-order system", IEEE Transactions on Signal Processing, 25 June 2012, DOI:10.1109/TSP.2012.2205920, available online at


For more information about the Mittag-Leffler function and fractional differential equations (i.e., differential equations containing derivatives of arbitrary real order) see, for example,


[3] I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999, ISBN 0125588402.

文件下载列表 (356.7KB)  
mlffit1.m  mlffit1demo.m  mlffit2.m  mlffit2demo.m  requireFEXpackage.m  mlffit1demo.pdf  mlffit2demo.pdf  


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