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

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.

Automated summary

In this paper, the seventh-order time-fractional Sawada Kotera Ito equation was studied using the natural transform decomposition method (NTDM) with singular and nonsingular kernel derivatives. Fractional derivatives in Caputo, Caputo-Fabrizio (CF), and Atangana-Baleanu-Caputo (ABC) were considered. The method was validated by using a few examples and comparison with actual results, showing numerical results in accordance with existing results.