Homotopy analysis method for solving Abel differential equation of fractional order

被引：20

作者：

Jafari, Hossein ^{[1
]}

Sayevand, Khosro ^{[2
]}

Tajadodi, Haleh ^{[1
]}

Baleanu, Dumitru ^{[3
,4
,5
]}

机构：

[1] Univ Mazandaran, Dept Math, Babol Sar, Iran

[2] Univ Malayer, Fac Basic Sci, Dept Math, Malayer, Iran

[3] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, Ankara, Turkey

[4] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia

[5] Inst Space Sci, R-76900 Magurele, Romania

来源：

CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2013年 / 11卷 / 10期

关键词：

Abel differential equation; fractional derivative; homotopy analysis method; DIFFUSION;

D O I：

10.2478/s11534-013-0209-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this study, the homotopy analysis method is used for solving the Abel differential equation with fractional order within the Caputo sense. Stabilityand convergence of the proposed approach is investigated. The numerical results demonstrate that the homotopy analysis method is accurate and readily implemented.

引用

页码：1523 / 1527

页数：5

共 23 条

[1] On convergence of homotopy analysis method and its modification for fractional modified KdV equations [J].