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

页码：37 / 43

页数：7

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