Sumudu transform for solving ordinary differential equation in a fuzzy environment

被引:8
作者
Sahni, Manoj [1 ]
Parikh, Meghna [1 ]
Sahni, Ritu [2 ]
机构
[1] Pandit Deendayal Petr Univ, Sch Technol, Dept Math, Gandhinagar 382007, Gujarat, India
[2] Inst Adv Res, Dept Phys Sci, Gandhinagar 382007, Gujarat, India
关键词
Fuzzy numbers; Fuzzy valued function; Hukuhara derivative; Strongly generalized differentiability; Sumudu transform; CALCULUS;
D O I
10.1080/09720502.2020.1845468
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The ordinary differential equations are widely used for modeling many real-life problems in the fuzzy world. In this paper an ordinary differential equation of a mechanical vibration system is considered with fuzzified initial values under strongly generalized differentiability condition. An algorithm based on Sumudu transform method, a modified form of Laplace Transform, is used to find the solution of the problem. The results are shown in the form of a table at different computational points. The solutions are also obtained for different r-cut and time values and are depicted graphically. The results obtained are in good agreement with the analytical result.
引用
收藏
页码:1565 / 1577
页数:13
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