Analysis of Fractional-Order Regularized Long-Wave Models via a Novel Transform

A new integral transform method for regularized long-wave (RLW) models having fractional-order is presented in this study. Although analytical approaches are challenging to apply such models, semianalytical or numerical techniques have received much attention the literature. We propose a technique combining transformation, Elzaki (ET), and it equations The RLW describe ion-acoustic waves plasma shallow water seas. results obtained extremely important necessary describing various physical phenomena. This work considers an up-to-date approach fractional operators context obtain satisfactory approximate solutions proposed problems. first define transforms of Caputo derivative (CFD) Atangana-Baleanu (ABFD) implement them solving equations. can readily that provide us with improved approximations after only few iterations. derived were found be close contact exact solutions. Furthermore, suggested procedure has attained best level accuracy. In fact, when compared other nonlinear partial differential equations, present might considered one finest.