id author title date pages extension mime words sentences flesch summary cache txt cord-330703-fbmy6osu Zhang, Zizhen Mathematical model of Ebola and covid-19 with fractional differential operators: Non-Markovian process and class for virus pathogen in the environment 2020-07-28 .txt text/plain 3769 370 79 title: Mathematical model of Ebola and covid-19 with fractional differential operators: Non-Markovian process and class for virus pathogen in the environment Differential operators based on convolution definitions have been recognized as powerful mathematics tools to help model real world problems due to the properties associated to their different kernels. In this paper, we used new trend of fractional differential and integral operators to model the spread of Ebola and Covid-19. The left Caputo fractional derivative of order of the function f is given by the following equality; Thus, we can present the following scheme for numerical solution of our above equation as S 1 (t n−1 , S n−1 , I n−1 , R n−1 , D n−1 , P n−1 ) − S 1 (t n−2 , S n−2 , I n−2 , R n−2 , D n−2 , P n−2 ) ./cache/cord-330703-fbmy6osu.txt ./txt/cord-330703-fbmy6osu.txt