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Numerical solution of linear inhomogeneous fuzzy delay differential equations
Fuzzy Optimization and Decision Making ( IF 4.7 ) Pub Date : 2018-11-29 , DOI: 10.1007/s10700-018-9296-1
A. G. Fatullayev , Nizami A. Gasilov , Şahin Emrah Amrahov

We investigate inhomogeneous fuzzy delay differential equation (FDDE) in which initial function and source function are fuzzy. We assume these functions be in a special form, which we call triangular fuzzy function. We define solution as a fuzzy bunch of real functions such that each real function satisfies the equation with certain membership degree. We develop an algorithm to find the solution, and we provide the existence and uniqueness results for the considered FDDE. We also present an example to show the applicability of the proposed algorithm.

中文翻译:

线性非齐次模糊时滞微分方程的数值解

我们研究了初始函数和源函数模糊的非均匀模糊延迟微分方程(FDDE)。我们假设这些函数采用特殊形式,称为三角模糊函数。我们将解决方案定义为一堆模糊的实函数,以使每个实函数都满足一定隶属度的方程。我们开发了一种算法来找到解决方案,并为所考虑的FDDE提供了存在性和唯一性结果。我们还提供了一个示例来说明所提出算法的适用性。
更新日期:2018-11-29
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