TY - JOUR
ID - 16440
TI - Application of fuzzy ABC fractional differential equations in infectious diseases
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Babakordi, Fatemeh
AU - Allahviranloo, Tofigh
AD - Department of Mathematics, Faculty of Science, Gonbad Kavous University, Gonbad Kavous, Iran.
AD - Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Tukey.
Y1 - 2024
PY - 2024
VL - 12
IS - 1
SP - 1
EP - 15
KW - Fuzzy Atangana-Baleanu-Caputo(ABC) fractional derivative
KW - Fuzzy ABC fractional differential equations
KW - HIV fuzzy mathematical model
DO - 10.22034/cmde.2023.47768.2000
N2 - 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 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.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.
UR - https://cmde.tabrizu.ac.ir/article_16440.html
L1 - https://cmde.tabrizu.ac.ir/article_16440_5dc73843d9a4cf0bdafdc6d06ccb4647.pdf
ER -