Numerical Analysis of Time-Fractional Whitham-Broer-Kaup Equations with Exponential-Decay Kernel

This paper presents the semi-analytical analysis of fractional-order non-linear coupled system Whitham-Broer-Kaup equations. An iterative process is designed to analyze analytical findings specified partial fractional derivatives scheme utilizing Yang transformation with Adomian technique. The derivative considered in sense Caputo-Fabrizio. Two numerical problems show suggested method. Moreover, results technique are compared solution other well-known techniques such as Homotopy perturbation technique, decomposition and Variation iteration Numerical simulation has been carried out verify that methodologies accurate reliable, revealed using graphs tables. Comparing actual solutions demonstrates proposed approaches effectively solve complicated problems. Furthermore, control manipulate achieved a vast acceptable region an extreme manner. It will provide us simple adjust convergence series solution.