Homotopy analysis transform method for solving generalized Abel's fuzzy integral equations of the first kind

被引：0
|
作者：
Araghi, Mohammad Ali Fariborzi [1 ]
Noeiaghdam, Samad [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran, Iran
来源：
2015 4TH IRANIAN JOINT CONGRESS ON FUZZY AND INTELLIGENT SYSTEMS (CFIS) | 2015年
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D O I：
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中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this article, we present a new method is presented to solve generalized Abel's fuzzy integral equations of the first kind. This method is based on the homotopy analysis method and Laplace transform method. By using this method, the accuracy and efficiency of homotopy analysis transform method (HATM) is shown. Convergence theorem of the proposed method is proved and some examples are solved via the mentioned algorithm. By plotting the h-curves, the convergence region is determined. The tables of errors illustrate the accuracy of the method.
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页数：8
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