A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform

Gouyandeh Zienab; Allahviranloo Tofigh; Abbasbandy Saeid; Armand Atefeh

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A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform

机译：广义Hukuhara可微性下热方程的模糊傅里叶变换模糊解。

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摘要

In this paper an analytical solution of a fuzzy heat equation under generalized Hukuhara partial differentiability by fuzzy Fourier transform is investigated. A fuzzy Fourier transform is introduced and the related theorems and properties are provided in detail. Some examples show the effectiveness and efficiency of the approach. (C) 2016 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2017年第15期|81-97|共17页
作者
Gouyandeh Zienab; Allahviranloo Tofigh; Abbasbandy Saeid; Armand Atefeh;
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作者单位

Islamic Azad Univ, Najafabad Branch, Dept Math, Najafabad, Iran;

Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran;

Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran;

Islamic Azad Univ, Dept Math, Coll Sci, Yadegar E Imam Khomeini RAH Shahre Rey Branch, Tehran, Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Generalized Hukuhara differentiability; Fuzzy partial differential equation; Fuzzy heat equation; Fuzzy Fourier transform; Fuzzy; improper integral;

机译：广义Hukuhara可微性;模糊偏微分方程;模糊热方程;模糊傅立叶变换;模糊;不当积分;

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专利

1. On fuzzy solutions for heat equation based on generalized Hukuhara differentiability [J] . Allahviranloo Tofigh, Gouyandeh Zienab, Armand Atefeh, Fuzzy sets and systems . 2015,第apra15期

机译：基于广义Hukuhara微分的热方程的模糊解
2. Analysis and Computation of Fuzzy Differential Equations via Interval Differential Equations with a Generalized Hukuhara-type Differentiability [J] . J. Sunday American Journal of Computational and Applied Mathematics . 2018,第2期

机译：广义Hukuhara型可微性的区间微分方程对模糊微分方程的分析与计算
3. Random fuzzy functional integro-differential equations under generalized Hukuhara differentiability [J] . Ho Vu, Le Si Dong, Ngo Van Hoa Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2014,第3期

机译：广义Hukuhara可微性下的随机模糊泛函积分微分方程
4. Numerical Solution of Interval Differential Equations with generalized Hukuhara differentiability [C] . Barnabas Bede, Luciano Stefanini International Fuzzy Systems Association World Congress;European Society of Fuzzy Logic and Technology Conference . 2009

机译：具有广义Hukuhara可分性的间隔差分方程的数值解
5. Neural, fuzzy and statistical models for unsupervised pattern recognition of Fourier transform Raman spectra. [D] . Daniel, Nelson Wright, Jr. 1996

机译：用于傅里叶变换拉曼光谱无监督模式识别的神经，模糊和统计模型。
6. On the Sum of Generalized Hukuhara Differentiable Fuzzy Functions [O] . Yurilev Chalco-Cano, A. Khastan, Antonio Rufián-Lizana -1

机译：广义Hukuhara微分模糊函数的和。
7. On the Sum of Generalized Hukuhara Differentiable Fuzzy Functions [O] . Yurilev Chalco-Cano, A. Khastan, Antonio Rufián-Lizana 2020

机译：关于广义Hukuhara可分辨率模糊功能的总和

A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform

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