Open AccessComputational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law
Author(s) -
Sher Muhammad,
Kamal Shah,
Zareen A. Khan,
Hasib Khan,
Aziz Khan
Publication year - 2020
Publication title -
alexandria engineering journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.584
H-Index - 58
eISSN - 2090-2670
pISSN - 1110-0168
DOI - 10.1016/j.aej.2020.07.014
Subject(s) - mathematics , laplace transform , invertible matrix , fractional calculus , fixed point theorem , type (biology) , kernel (algebra) , stability (learning theory) , class (philosophy) , commutative property , order (exchange) , pure mathematics , mathematical analysis , computer science , ecology , finance , machine learning , artificial intelligence , economics , biology
In the current article, we studied the novel corona virus (2019-nCoV or COVID-19) which is a threat to the whole world nowadays. We consider a fractional order epidemic model which describes the dynamics of COVID-19 under nonsingular kernel type of fractional derivative. An attempt is made to discuss the existence of the model using the fixed point theorem of Banach and Krasnoselskii’s type. We will also discuss the Ulam-Hyers type of stability of the mentioned problem. For semi analytical solution of the problem the Laplace Adomian decomposition method (LADM) is suggested to obtain the required solution. The results are simulated via Matlab by graphs. Also we have compare the simulated results with some reported real data for Commutative class at classical order.
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