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

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• 作者：Zienab Gouyandeh^a ; ^{zgouyandeh@yahoo.com} ; Tofigh Allahviranloo^b ; ^{Tofigh@allahviranloo.com} ; Saeid Abbasbandy^b ; ^{Abbasbandy@yahoo.com} ; Atefeh Armand^c ; ^{Atefeh.armand@ymail.com}
• 关键词：Generalized Hukuhara differentiability ; Fuzzy partial differential equation ; Fuzzy heat equation ; Fuzzy Fourier transform ; Fuzzy improper integral
• 刊名：Fuzzy Sets and Systems
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：309
• 期：Complete
• 页码：81-97
• 全文大小：894 K
• 卷排序：309

文摘

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.