Analytical solutions of time-fractional models for homogeneous Gardner equation and non-homogeneous differential

(in lingua inglese)

The major achievement of this paper is the demonstration of the successful application of the q-HAM to obtain analytical solutions of the time-fractional homogeneous Gardner’s equation and time-fractional non-homogeneous differential equations (including Buck-Master’s equation). Our results confirm that the method is really effective for handling solutions of a class of non linear partial differential equations of fractional order system both homogeneous and non-homogeneous.