Homotopy perturbation method for solving Caputo-type fractional-order Volterra-Fredholm integro-differential equations

被引：78

作者：

Das, Pratibhamoy ^{[1
]}

Rana, Subrata ^{[1
]}

Ramos, Higinio ^{[2
]}

机构：

[1] Indian Inst Technol Patna, Dept Math, Patna, Bihar, India

[2] Univ Salamanca, Dept Appl Math, Salamanca, Spain

来源：

COMPUTATIONAL AND MATHEMATICAL METHODS | 2019年 / 1卷 / 05期

关键词：

approximation method; Caputo fractional derivative; integro-differential equation; homotopy perturbation; Volterra-Fredholm equation;

D O I：

10.1002/cmm4.1047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work considers the solution of fractional Volterra-Fredholm integro-differential equations. Here, we consider the approximation of the solution based on semi-analytical approaches. We use the homotopy perturbation method approach for this purpose. It is observed through different examples that the adopted strategy is not only an effective tool for approximation of the solution but also can lead to the exact solution of certain problems.

引用

页数：9

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