Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations

被引:0
作者
Alikhani, Robab [1 ]
Ganjeh-Alamdari, Maryam [1 ]
机构
[1] Univ Tabriz, Dept Math, Tabriz, Iran
来源
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2023年 / 11卷 / 03期
关键词
Caputo-Fabrizio operator; Cross product; Initial value problem; Linear fuzzy differential equations; PRODUCT;
D O I
10.22034/cmde.2023.50144.2084
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We aim at presenting results including analytical solutions to linear fully fuzzy Caputo-Fabrizio fractional differ-ential equations. In such linear equations, the coefficients are fuzzy numbers and, as a useful approach, the cross product has been considered as a multiplication between the fuzzy data. This approach plays an essential role in simplifying of computation of analytical solutions of linear fully fuzzy problems. The obtained results have been applied for deriving explicit solutions of linear Caputo-Fabrizio differential equations with fuzzy coefficients and of the corresponding initial-value problems. Some of the topics which are needed for the results of this study from the point of view of the cross product of fuzzy numbers have been explained in detail. We illustrate our technique and compare the effect of uncertainty of the coefficients and initial value on the related solutions.
引用
收藏
页码:440 / 463
页数:24
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