In this paper, we present new approximate solutions to some linear and nonlinear fractional partial differential equations (FPDEs), which include mixed partial derivatives using Laplace substitution method (LSM). This method is entirely based on the well-known Laplace transform and Adomian polynomial.Looking at several studies, we find that the results obtained from this technique converge well with the exact solutions.
In this paper, we introduce fractional order COVID-19 model in Morocco. We analyse the presented model by calculating reproductive ratio ,finding free disease equilibrium point and studying local and global stability of free disease equilibrium point to show the advantages of fractional order model ,we simulate model by using (PECE) method for fractional order and compare our results to clinical data which obtained from morocco cases from 18 march 2020 to 5 April 2020 . From presented figures, we can easily see that data from fractional order is better than data obtained by integer order model according to the comparison with clinical data Keywords COVID-19 fractional order model, Fractional Adams-type predictor-corrector method , boundedness of solution, local and global stability analysis, Numerical results.
Abstract:In this paper, we introduce the model of Bromsulphthalein (BSP) test whose components are BSP in blood, BSP in liver and BSP in bile with fractional order. Generalized Euler method (GEM) is performed to solve the problem. We compare fractional results and integer results with clinical data. The results show that the fractional order is closer than clinical data than standard model.
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