TY - JOUR
T1 - NUMERICAL AND THEORETICAL ANALYSIS OF AN AWARENESS COVID-19 EPIDEMIC MODEL VIA GENERALIZED ATANGANA-BALEANU FRACTIONAL DERIVATIVE
AU - Baba, Isa Abdullahi
AU - Ahmed, Idris
AU - Al-Mdallal, Qasem M.
AU - Jarad, Fahd
AU - Yunusa, Salisu
N1 - Publisher Copyright:
© 2022, Czestochowa University of Technology. All rights reserved.
PY - 2022
Y1 - 2022
N2 - In this paper, a COVID-19 Awareness model in the setting of a generalized fractional Atangana-Baleanu derivative is proposed. The existence and uniqueness of a solution of the proposed fractional-order model are investigated under the techniques of fixed point theorems. In addition, we perform the predictor-corrector method to find its numeric solutions and present the graphs of the various solutions using different values of the parameters embodied in the derivative.
AB - In this paper, a COVID-19 Awareness model in the setting of a generalized fractional Atangana-Baleanu derivative is proposed. The existence and uniqueness of a solution of the proposed fractional-order model are investigated under the techniques of fixed point theorems. In addition, we perform the predictor-corrector method to find its numeric solutions and present the graphs of the various solutions using different values of the parameters embodied in the derivative.
KW - existence and uniqueness
KW - fixed point theorems
KW - generalized ABC fractional derivative
KW - numerical simulations
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U2 - 10.17512/jamcm.2022.1.01
DO - 10.17512/jamcm.2022.1.01
M3 - Article
AN - SCOPUS:85129106676
SN - 2299-9965
VL - 21
SP - 7
EP - 18
JO - Journal of Applied Mathematics and Computational Mechanics
JF - Journal of Applied Mathematics and Computational Mechanics
IS - 1
ER -