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Deprecated: Implicit conversion from float 209.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Adv+Differ+Equ 2020 ; 2020 (1): 487 Nephropedia Template TP
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On modeling of coronavirus-19 disease under Mittag-Leffler power law #MMPMID32934652
Bushnaq S; Shah K; Alrabaiah H
Adv Differ Equ 2020[]; 2020 (1): 487 PMID32934652show ga
This paper investigates a new model on coronavirus-19 disease (COVID-19) with three compartments including susceptible, infected, and recovered class under Mittag-Leffler type derivative. The mentioned derivative has been introduced by Atangana, Baleanu, and Caputo abbreviated as (ABC) . Upon utilizing fixed point theory, we first prove the existence of at least one solution for the considered model and its uniqueness. Also, some results about stability of Ulam-Hyers type are also established. By applying a numerical technique called fractional Adams-Bashforth (AB) method, we develop a scheme for the approximate solutions to the considered model. Using some real available data, we perform the concerned numerical simulation corresponding to different values of fractional order.