A survey on fuzzy fractional variational problems
A survey on fuzzy fractional variational problems
复制标题
DOI：
10.1016/j.cam.2014.03.019
复制
发表时间：
2014-12
期刊：
影响因子：
--
通讯作者：
O. S. Fard;Maryam Salehi
中科院分区：
文献类型：
--
作者：
O. S. Fard;Maryam Salehi
本文主要介绍和研究了广义模糊欧拉-拉格朗日方程和模糊等周问题。根据广义模糊可微意义下的Caputo型模糊分数阶导数的概念，推广和建立了模糊分数阶变分学的一些定义，给出了约束和非约束模糊分数阶变分问题的模糊分数阶Euler-Lagrange方程的一些必要条件。还研究了与广义模糊欧拉-拉格朗日有关的模糊等周问题。最后，给出了两个例子来描述所提出的方法。
This paper focuses on introducing and studying generalized fuzzy Euler–Lagrange equation and fuzzy isoperimetric problem. According to the concept of Caputo-type fuzzy fractional derivative in the sense of the generalized fuzzy differentiability, we extend and establish some definitions on fuzzy fractional calculus of variation and provide some necessary conditions to obtain the fuzzy fractional Euler–Lagrange equation for both constrained and unconstrained fuzzy fractional variational problems. The fuzzy isoperimetric problem is also investigated in relation to the generalized fuzzy Euler–Lagrange. Finally, two examples are given to describe the proposed approach.