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On the fuzzy Poisson equation

机译:关于模糊泊松方程

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The fuzzy-valued vector function is defined and then divergence, Laplace, and gradient operators are defined for fuzzy-valued vector functions and fuzzy-valued functions. Moreover, a fuzzy Riemann line integral and its fundamental theorem are introduced. To complete our discussion, fuzzy Green's, fuzzy divergence, and fuzzy Green's identity theorems are proved. In detail, a fuzzy Poisson equation is considered by discussion of fuzzy maximum and minimum principles. Also, the uniqueness and stability of the solution of a fuzzy Poisson equation are investigated as theorems. Finally, for more illustration, some examples are solved. (C) 2018 Elsevier B.V. All rights reserved.
机译:定义模糊值矢量函数,然后为模糊值矢量函数和模糊值函数定义散度,拉普拉斯和梯度算子。此外,介绍了模糊Riemann线积分及其基本定理。为了完成我们的讨论,证明了模糊格林,模糊散度和模糊格林身份定理。详细地,通过讨论模糊最大和最小原理来考虑模糊泊松方程。另外,还研究了模糊泊松方程解的唯一性和稳定性。最后,为更多说明,解决了一些示例。 (C)2018 Elsevier B.V.保留所有权利。

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