id author title date pages extension mime words sentences flesch summary cache txt cord-342591-6joc2ld1 Higazy, M. Novel Fractional Order SIDARTHE Mathematical Model of The COVID-19 Pandemic 2020-06-13 .txt text/plain 3689 247 47 The existence of a stable solution of the fractional order COVID-19 SIDARTHE model is proved and the fractional order necessary conditions of four proposed control strategies are produced. In addition, we study an optimal control plans for the fractional order SIDARTHE model via four control strategies that include the availability of vaccination and existence of treatments for the infected detected three population fraction phases. Applying the fractional order differential equations numerical solver using MATLAB software, we show the dynamics of the state variables of the model and display the effect of changing the fractional derivative order on the system response. We also implement the optimal control strategies numerically for the fractional order SIDARTHE model. Figure 9 displays the phase plane of state variables: total infected ( ) and susceptible cases (S(t)) with different fractional derivative order . ./cache/cord-342591-6joc2ld1.txt ./txt/cord-342591-6joc2ld1.txt