Abstract—In this study, a total number of subscribers of Mobile Network Operators (MNOs) in the Turkish mobile telecommunications market modeled mathematically with the fractional approach and polynomial models. The dataset contains the total number of subscribers of MNOs in the Turkish mobile telecommunication market. It consists of annual data between the years of 2004 and 2018. MNOs in the Turkish mobile telecommunications market consists of three company that is Turkcell, Turk Telekom, and Vodafone. The results of the models compared with each other and we obtained the Fractional Model is more successful. Fractional Model provides the opportunity to better modeling of the time series.

Index Terms—Fractional calculus, polynomial model, telecommunication market.

The authors are with Informatics Institute, Istanbul Technical University, Istanbul 34467, Turkey (email: onal16@itu.edu.tr).

Cite: Nisa Ozge Onal, Kamil Karacuha, Ertugrul Karacuha, "A Comparison of Fractional and Polynomial Models: Modelling on Number of Subscribers in the Turkish Mobile Telecommunications Market," International Journal of Applied Physics and Mathematics vol. 10, no. 1, pp. 41-48, 2020.

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