DYNAMICAL BEHAVIOR OF SEMI-ANALYTICAL SOLUTIONS IN THE TIME-FRACTIONAL BENJAMIN–ONO EQUATION AND STABILITY ANALYSIS

Abstract

This research presents the study of the time-fractional Benjamin-Ono equation (BOEs)
with the support of Caputo-Fabrizio fractional derivative(CFFD). In the present work, the
fractional homotopy perturbation transform (FHPTM) method has been taken to obtain
some new semi-analytical solution of the fractional BOE. The stability study of the model
with Banach’s fixed-point t heory i s u sed i n a n i terative m anner. A fter t hat, w e provide
some numerical examples to demonstrate the theoretical results that were attained. Lastly,
a graphical representation of the results is given.