Numerical solutions of time fractional Sawada Kotera Ito equation via natural transform decomposition method with singular and nonsingular kernel derivatives

Abstract

In this paper, we have studied the seventh‐order time‐fractional Sawada Kotera Ito equation via natural transform decomposition method (NTDM) with singular and nonsingular kernel derivatives. The fractional derivative considered in Caputo, Caputo‐Fabrizio (CF), and Atangana‐Baleanu‐Caputo (ABC). We employed the natural transform with the Adomian decomposition process on time‐fractional Sawada Kotera Ito equation to obtain the solution. To validate the method, we have considered a few examples and compared with the actual results. Numerical results are in accordance with the existing results.