A hybrid fractional optimal control for a novel Coronavirus (2019-nCov) mathematical model

Sweilam, N.H.; AL-Mekhlafi, S.M.; Baleanu, D.

In this work, a novel fractional order Coronavirus (2019-nCov) mathematical model with modified parameters is presented. The new fractional operator can be written as a linear combination of a Riemann–Liouville integral and a Caputo derivative. The suggested system is ruled by eight fractional-order nonlinear differential equations. The optimal control of the suggested model is the main objective of this work. Three control variables are presented in this model to minimize the number of infected population. Necessary control conditions are derived. Two schemes are constructed to simulate the proposed optimal control system. Prove of the schemes- stability are given. In order to validate the theoretical results numerical simulations and comparative studies with Caputo derivative are given.