Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 44, Issue 18, Pages 14025-14040Publisher
WILEY
DOI: 10.1002/mma.7672
Keywords
Atangana-Baleanu derivative; Caputo derivative; Caputo-Fabrizio derivative; natural transform decomposition; time-fractional Sawada Kotera Ito equation
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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.
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.
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