TY - JOUR
T1 - Fractional order mathematical modeling of COVID-19 transmission
AU - Ahmad, Shabir
AU - Ullah, Aman
AU - Al-Mdallal, Qasem M.
AU - Khan, Hasib
AU - Shah, Kamal
AU - Khan, Aziz
N1 - Funding Information:
We are thankful to the reviewers for their careful reading and suggestions. In addition, authors also would like to acknowledge and express their gratitude to the United Arab Emirates University , Al Ain, UAE for providing the financial support with grant no. 31S363-UPAR (4) 2018 .
Publisher Copyright:
© 2020
PY - 2020/10
Y1 - 2020/10
N2 - In this article, the mathematical model with different compartments for the transmission dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order derivative. Some results regarding the existence of at least one solution through fixed point results are derived. Then for the concerned approximate solution, the modified Euler method for fractional-order differential equations (FODEs) is utilized. Initially, we simulate the results by using some available data for different fractional-order to show the appropriateness of the proposed method. Further, we compare our results with some reported real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city.
AB - In this article, the mathematical model with different compartments for the transmission dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order derivative. Some results regarding the existence of at least one solution through fixed point results are derived. Then for the concerned approximate solution, the modified Euler method for fractional-order differential equations (FODEs) is utilized. Initially, we simulate the results by using some available data for different fractional-order to show the appropriateness of the proposed method. Further, we compare our results with some reported real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city.
KW - Approximate solutions
KW - Caputo's fractional derivative
KW - Corona virus COVID-19
KW - Fractional Euler's method
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U2 - 10.1016/j.chaos.2020.110256
DO - 10.1016/j.chaos.2020.110256
M3 - Article
AN - SCOPUS:85090922819
SN - 0960-0779
VL - 139
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
M1 - 110256
ER -