Approximate solutions to fractional differential equations

In this paper, the time-fractional coupled viscous Burgers' equation (CVBE) and Drinfeld-Sokolov-Wilson equation (DSWE) are solved by the Sawi transform coupled homotopy perturbation method (HPM). The approximate series solutions to these two equations are obtained. Meanwhile, the absolute error between the approximate solution given in this paper and the exact solution given in the literature is analyzed. By comparison of the graphs of the function when the fractional order alpha takes different values, the properties of the equations are given as a conclusion.

Automated summary

In this paper, the time-fractional coupled viscous Burgers' equation and Drinfeld-Sokolov-Wilson equation are solved using the Sawi transform coupled homotopy perturbation method. The approximate series solutions to these equations are obtained, and the absolute error between the approximate solution and the exact solution is analyzed. The properties of the equations are given as a conclusion by comparing the graphs of the function when the fractional order takes different values.