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Progress has been made in developing sigmoids derived from the Mittag-Leffler function. Generally, the Mittag-Leffler functions of one and two parameters, as well as the Atangana-Baleanu formulation, are used to substitute the traditional exponential in the Verhulst model. Sigmoid formulations have been successfully demonstrated using numerous subcases of the Mittag-Leffler function. Maple and Mathematica computing have enabled us to successfully visualize the results and identify emerging computational problems.
Jordan Hristov (Mon,) studied this question.