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 article:
[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 http://dx.doi.org/10.1109/TCST.2012.2185932
(or preprint: http://arxiv.org/abs/1107.2575)
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,
[2] I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999, ISBN 0125588402.
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