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

被引:17
作者
Adivi Sri Venkata, Ravi Kanth [1 ]
Kirubanandam, Aruna [2 ]
Kondooru, Raghavendar [2 ]
机构
[1] Natl Inst Technol, Dept Math, Kurukshetra, Haryana, India
[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
关键词
Atangana-Baleanu derivative; Caputo derivative; Caputo-Fabrizio derivative; natural transform decomposition; time-fractional Sawada Kotera Ito equation; DIFFERENTIAL-EQUATIONS; CONTROLLERS; CAPUTO; MODEL;
D O I
10.1002/mma.7672
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:14025 / 14040
页数:16
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