模糊Laplace变换的卷积定理及其应用
发布时间：2019-02-22 19:08
【摘要】：定义了模糊Henstock积分意义下的实值函数与模糊数值函数的卷积,并对其基本性质进行研究,得到了基于模糊Henstock积分的Laplace变换的卷积定理.最后,借助该卷积定理对两类卷积型的模糊Volterra积分方程的求解进行讨论并给出算例.
[Abstract]:In this paper, the convolution of real value function and fuzzy numerical function in the sense of fuzzy Henstock integral is defined, and its basic properties are studied. The convolution theorem of Laplace transform based on fuzzy Henstock integral is obtained. Finally, with the help of the convolution theorem, the solution of two kinds of fuzzy Volterra integral equations of convolution type is discussed and an example is given.
【作者单位】： 西北师范大学数学与统计学院;
【基金】：国家自然科学基金资助项目(11461062,61262022)
【分类号】：O159
[Abstract]:In this paper, the convolution of real value function and fuzzy numerical function in the sense of fuzzy Henstock integral is defined, and its basic properties are studied. The convolution theorem of Laplace transform based on fuzzy Henstock integral is obtained. Finally, with the help of the convolution theorem, the solution of two kinds of fuzzy Volterra integral equations of convolution type is discussed and an example is given.
【作者单位】： 西北师范大学数学与统计学院;
【基金】：国家自然科学基金资助项目(11461062,61262022)
【分类号】：O159
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