The goal of this paper is to approximate fractional third-order dispersive partial differential equations using an efficient scheme titled as Reduced differential transform method (RDTM). The advantage of using RDTM is, it can produce an analytically approximate answer in the form of a convergent power series with easily ascertainable components. Without using any discretization, constrictive assumptions or transformation, the approach determines the solution while taking into account the application of the proper beginning conditions. Our test cases show the precision and effectiveness of the suggested approach, and the solution behavior is shown in tables. The numerical findings on different values of α are contrasted with the Differential Transform Method, Laplace-Adomian Decomposition and Homotopy Analysis Sumudu Transform method. Additionally, it has been found that there is a strong correlation between the numerical results and the documented numerical and precise solutions in this study. In order to conveniently explain many additional fractional differential equations, the offered approach thus exhibits the reliability, efficacy, competency, and strengthening of resultant conclusions.

Keywords: Reduced differential transform method; fractional third-order dispersive partial differential equation (FTD-PDE); fractional differential equations