DISCRETIZATION, TRANSFORMATION AND ANALYSIS OF THE COVID-19 WAVE EPIDEMIC WITH FRACTAL FRACTIONAL OPERATOR
Fractals, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1142/s0218348x26400761
- Dergi Adı: Fractals
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Compendex, INSPEC, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Technology Collection (ProQuest)
- Anahtar Kelimeler: ABC, Caputo, COVID-19, Fractal Fractional Operator, Health Care, Infectious Diseases, Linear Growth, Stability, Uniqueness
- Karadeniz Teknik Üniversitesi Adresli: Hayır
Özet
Currently, it’s a widely recognized reality that fractional evaluation is an enticing area of study, particularly in modeling. This paper discusses the proposed fractional derivatives for the dynamical transmission of the Coronavirus model with the Mittag-Leffler kernel. These are the latest techniques that give useful results in analyzing and controlling COVID-19 infection in the community. Moreover, several strategies, such as fixed-point theory, linear growth, and Ulam–Hyers stability of the suggested operator, have been applied to the fractional-order model. To see the effects of the model, we employ the Sumudu transform and an effective method as well. The PID and controllability of the model are also discussed. Lastly, by creating a computational framework that integrates the stochastic technique of artificial neural networks with Levenberg–Marquardt backpropagation (ANNLMB), we provide the numerical calculations of the suggested model in four distinct variations. The model’s tools are powerful and capable of modeling theoretical conditions. They are also suggested for application in other physical models of infectious diseases.