id author title date pages extension mime words sentences flesch summary cache txt cord-288894-2iaq3ayv Kumar, Sachin A novel mathematical approach of COVID-19 with non-singular fractional derivative 2020-07-01 .txt text/plain 3314 246 52 A new operational matrix of fractional differentiation on domain [0, a], a ≥ 1, a ∈ N by using the extended Legendre polynomial on larger domain has been developed. Finally, we provide numerical evidence and theoretical arguments that our new model can estimate the output of the exposed, infected and asymptotic carrier with higher fidelity than the previous models, thereby motivating the use of the presented model as a standard tool for examining the effect of contact rate and transmissibility multiple on number of infected cases are depicted with graphs. We will present some numerical treatments based on the number of infected people increases with increment in contact rate. The derivation of operational matrix of fractional differentiation based on orthogonal Legendre polynomial on interval [0, a ] is derived in Section 3 . The use of this newly derived matrix with Legendre collocation method is applied to solve a system of fractional ordinary differential equation. ./cache/cord-288894-2iaq3ayv.txt ./txt/cord-288894-2iaq3ayv.txt