Alexandria Engineering Journal ( IF 2.460 ) Pub Date : 2020-09-14 , DOI: 10.1016/j.aej.2020.08.028 Kamal Shah; Zareen A. Khan; Amjad Ali; Rohul Amin; Hasib Khan; Aziz Khan
This article is devoted to study a compartmental mathematical model for the transmission dynamics of the novel Coronavirus-19 under Caputo fractional order derivative. By using fixed point theory of Schauder’s and Banach we establish some necessary conditions for existence of at least one solution to model under investigation and its uniqueness. After the existence a general numerical algorithm based on Haar collocation method is established to compute the approximate solution of the model. Using some real data we simulate the results for various fractional order using Matlab to reveal the transmission dynamics of the current disease due to Coronavirus-19 through graphs.