This manuscript uses Aboodh Transform Method (ATHPM) as a homotopic perturbation to solve linear and non-linear time FDE’s such as regularized long wave (RLW) equations. This technique (ATHPM) is a very good founded, effective and simple path to find correct and approximate solutions for long wave (RLW) linear and nonlinear time fractions, combined with the Aboodh transforming method. The result demonstrates the precision of the Aboodh Transform combined homotopy disruption process. We find that it can be used extensively to analyze other issues in the planet.