Sigmoids based on Mittag-Leffler functions: Ideas, modeling, and computational experiments
Abstract
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.
Fields of Study & Subjects
Polynomial and algebraic computation
Iterative Methods for Nonlinear Equations
Mathematical functions and polynomials
Publication details
- Journal / source
- Transactions on Computational Modeling and Intelligent Systems
- Publisher
- İdeal Kültür Yayıncılık
- Volume
- 3
- Publication date
- 13 April 2026
- Language
- EN