THE IMPACT OF NONSINGULAR MEMORY ON THE MATHEMATICAL MODEL OF HEPATITIS C VIRUS
Fractals, cilt.31, sa.4, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 31 Sayı: 4
- Basım Tarihi: 2023
- Doi Numarası: 10.1142/s0218348x23400650
- Dergi Adı: Fractals
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Compendex, INSPEC, zbMATH, DIALNET, Civil Engineering Abstracts
- Anahtar Kelimeler: Hepatitis C Model, Fractional Derivative, Existence and Uniqueness, Numerical Simulations
- Sağlık Bilimleri Üniversitesi Adresli: Evet
Özet
In this research, we examine the nonsingular memory effect when implementing the Atangana-Baleanu (AB) fractional derivative in the Caputo sense to the Hepatitis C virus (HCV) model. For this purpose, first, the sufficient conditions for the existence and uniqueness of the solutions under the AB fractional derivative of the model are expressed and proved. Therewithal, in order to show the response of the AB derivative on the system dynamics practically, a new version of the predictor-corrector method is used with the newly estimated model parameters from the literature. Finally, we provide some simulations of the results.