Application of fuzzy ABC fractional differential equations in infectious diseases
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Tabriz
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, for solving the HIV fuzzy mathematical model, it is first transformed into a system of three nonlinear fuzzy Atangana-Baleanu-Caputo (ABC) fractional differential equations with three unknowns and fuzzy initial values. Then, using the generalized Hukuhara difference and ABC fractional derivative and applying the fuzzy numerical ABC-PI method, its fuzzy solution is calculated. Moreover, some theorems are defined to prove the existence and uniqueness of the solution. Then, it is explained that the proposed method can be used for the system of any equations with unknowns.Therefore, in order to determine the solution of the fuzzy mathematical model of the transmission of COVID-19, it is transformed into a system of six nonlinear fuzzy Atangana-Baleanu-Caputo (ABC) fractional differential equations with six unknowns and fuzzy initial values and is solved similarly. At the end, a numerical example is presented to verify the effectiveness of the proposed method.
Açıklama
Anahtar Kelimeler
Fuzzy Atangana-Baleanu-Caputo(Abc) Fractional Derivative, Fuzzy Abc Fractional Differential Equations, Hiv Fuzzy Mathematical Model
Kaynak
Computational Methods For Differential Equations
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
12
Sayı
1
