TY - JOUR
T1 - Modeling of Mobile and Fixed Broadband Subscriptions of Countries with Fractional Calculus
AU - Tuǧrul, Nisa Özge Önal
AU - Başer, Cennet
AU - Ergün, Esra
AU - Karaçuha, Kamil
AU - Tabatadze, Vasil
AU - Eker, Sebahattin
AU - Karaçuha, Ertuǧrul
AU - Şimşek, Kevser
N1 - Publisher Copyright:
© 2022 Nisa Özge Önal Tuǧrul et al., published by Sciendo.
PY - 2022/2/1
Y1 - 2022/2/1
N2 - Today, operators have become the resource of telecommunications data. Therefore, knowledge about subscriptions is easily available for most countries. In recent years, high-speed mobile internet access subscriptions are also increasing rapidly. There are two important subscriptions reviewed by The International Telecommunication Union (ITU): mobile broadband (MBB) subscriptions and Fixed broadband (FBB) subscriptions. In this study, we proposed an original mathematical model employing the fractional analysis theory and evaluate its validity by modeling the mobile broadband and fixed broadband subscriptions of six countries including France, Italy, Turkey, Germany, Spain, and the U.K. Later, we compared the Fractional Model we developed with the Polynomial Model. The results show that the Fractional Model is superior to the conventional Polynomial Model in modeling broadband subscriptions. For all selected countries, our proposed Fractional approach outperforms conventional polynomial regression. For all investigation categories, on average, the fractional approach works better by at least 10% and at most 30%.
AB - Today, operators have become the resource of telecommunications data. Therefore, knowledge about subscriptions is easily available for most countries. In recent years, high-speed mobile internet access subscriptions are also increasing rapidly. There are two important subscriptions reviewed by The International Telecommunication Union (ITU): mobile broadband (MBB) subscriptions and Fixed broadband (FBB) subscriptions. In this study, we proposed an original mathematical model employing the fractional analysis theory and evaluate its validity by modeling the mobile broadband and fixed broadband subscriptions of six countries including France, Italy, Turkey, Germany, Spain, and the U.K. Later, we compared the Fractional Model we developed with the Polynomial Model. The results show that the Fractional Model is superior to the conventional Polynomial Model in modeling broadband subscriptions. For all selected countries, our proposed Fractional approach outperforms conventional polynomial regression. For all investigation categories, on average, the fractional approach works better by at least 10% and at most 30%.
KW - Fractional calculus
KW - MAPE
KW - broadband subscriptions
KW - mathematical modeling
KW - mobile and fixed broadband
UR - http://www.scopus.com/inward/record.url?scp=85126121686&partnerID=8YFLogxK
U2 - 10.2478/ttj-2022-0001
DO - 10.2478/ttj-2022-0001
M3 - Article
AN - SCOPUS:85126121686
SN - 1407-6160
VL - 23
SP - 1
EP - 10
JO - Transport and Telecommunication
JF - Transport and Telecommunication
IS - 1
ER -