TY - JOUR ID - 143582 TI - A novel numerical approach for distributed order time fractional COVID-19 virus model JO - Journal of Applied Research on Industrial Engineering JA - JARIE LA - en SN - 2538-5100 AU - Khasteh, Mohsen AU - Refahi Sheikhani, Amir Hossein AU - Shariffar, Farhad AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran. AD - Department of Applied Mathematics, Fouman and Shaft Branch, Islamic Azad University, Fouman, Iran. Y1 - 2022 PY - 2022 VL - 9 IS - 4 SP - 442 EP - 453 KW - Covid-19 Virus KW - Distributed-order KW - Finite difference method KW - Caputo-Prabhakar derivative DO - 10.22105/jarie.2022.305182.1381 N2 - In this paper, we proposed a numerical approach to solve a distributed order time fractional COVID 19 virus model. The fractional derivatives are shown in the Caputo-Prabhakar contains generalized Mittag-Leffler Kernel. The coronavirus 19 disease model has 8 Inger diets leading to system of 8 nonlinear ordinary differential equations in this sense, we used the midpoint quadrature method and finite different scheme for solving this problem, our approximation method reduce the distributed order time fractional COVID 19 virus equations to a system of algebraic equations. Finally, to confirm the efficiency and accuracy of this method, we presented some numerical experiments for several values of distributed order. Also, all parameters introduced in the given model are positive parameters. UR - https://www.journal-aprie.com/article_143582.html L1 - https://www.journal-aprie.com/article_143582_0590a07a3f40d53ae93fb6ff03e20cfe.pdf ER -