Open AccessEpidemiological analysis of fractional order COVID-19 model with Mittag-Leffler kernel
Author(s) -
Muhammad Farman,
Ali Akgül,
Kottakkaran Sooppy Nisar,
Dilshad Ahmad,
Aqeel Ahmad,
Sarfaraz Kamangar,
C. Ahamed Saleel
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022046
Subject(s) - mathematics , fractional calculus , uniqueness , fractal , kernel (algebra) , order (exchange) , fixed point theorem , mittag leffler function , covid-19 , operator (biology) , pure mathematics , mathematical analysis , medicine , biochemistry , chemistry , disease , finance , pathology , repressor , gene , transcription factor , infectious disease (medical specialty) , economics
This paper derived fractional derivatives with Atangana-Baleanu, Atangana-Toufik scheme and fractal fractional Atangana-Baleanu sense for the COVID-19 model. These are advanced techniques that provide effective results to analyze the COVID-19 outbreak. Fixed point theory is used to derive the existence and uniqueness of the fractional-order model COVID-19 model. We also proved the property of boundedness and positivity for the fractional-order model. The Atangana-Baleanu technique and Fractal fractional operator are used with the Sumudu transform to find reliable results for fractional order COVID-19 Model. The generalized Mittag-Leffler law is also used to construct the solution with the different fractional operators. Numerical simulations are performed for the developed scheme in the range of fractional order values to explain the effects of COVID-19 at different fractional values and justify the theoretical outcomes, which will be helpful to understand the outbreak of COVID-19 and for control strategies.