Utilizing the Laplace residual power series approach for the fractional Kawahara formula

By combining Laplace's residual power series technique with the concept of limits through finite energy and time compared to the residual power series technique, many nonlinear and fractional partial problems related to the Kawahara formula are conceptually solved in this thesis. This results in investigations and approximations in rapidly converging series shapes. The proposed strategy is tested on multiple subjects to determine whether it is practical, efficient, or clear using two tests and the graphs. Analysis of the collected data shows that the previously mentioned approach is suitable, accurate and simple to find solutions to non-linear technological problems.