Application of Homotopy Analysis Method to Solve Fuzzy Volterra Integro-Differential Equations

被引：1
|
作者：
Araghi, Mohammad Ali Fariborzi [1 ]
Fallahzadeh, Amir [1 ]
机构：
[1] Islamic Azad Univ, Cent Tehran Branch, Fac Basic Sci, Dept Math, Tehran 1467686831, Iran
来源：
JOURNAL OF ADVANCED MATHEMATICS AND APPLICATIONS | 2016年 / 5卷 / 01期
关键词：
Homotopy Analysis Method; Fuzzy Integro-Differential Equation; Fuzzy Numbers; h-Curve;
D O I：
10.1166/jama.2016.1097
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the homotopy analysis method (HAM) is applied to solve a kind of fuzzy integrodifferential equations (FIDE). For this purpose, we consider the fuzzy Volterra integro-differential equation of the third order. Also, a theorem is proved to illustrate the convergence of the proposed method and the region of convergence is shown by plotting h-curves. A test example is solved by the given algorithm to verify the efficiency and importance of the method.
引用
收藏
页码：37 / 43
页数：7
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