Analytical solution of time-fractional Drinfeld-Sokolov-Wilson system using residual power series method

The aim of this paper is to introduce a novel study of obtaining an approximate solution to a generalized time-fractional Drinfeld-Sokolov-Wilson system. An iterative technique based on the generalized Taylor series residual power series (RPS) is extended to handle such a system. Description of the method is given and the obtained results reveal that RPS is a new significant method for exploring nonlinear fractional models.