In this paper, time-fractional Gardner’s Ostrovsky equation is
considered which represents the shallow water wave phenomena of strong
interacting internal Waves with rotational effects. Using the novel perturbation technique, we found the semi-analytical solutions of such obscure
phenomena for the rotational parameters introduced in fractional time domain. The Homotopy Perturbation Method is implemented in conjunction
with Laplace transformation. Caputo’s time fractional derivative has been
used to obtain the upcoming solutions on the basis of all previous backgrounds.
