Application of homotopy perturbation method and homotopy analysis method to fractional vibration equation

被引：16

作者：

Das, S. ^{[1
]}

Gupta, P. K. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2011年 / 88卷 / 02期

关键词：

fractional vibration equation; fractional Brownian motion; homotopy perturbation method; homotopy analysis method; Mittag-Leffler function; MODIFIED DECOMPOSITION METHOD; VARIATIONAL ITERATION METHOD; OLDROYD 6-CONSTANT FLUID; NONLINEAR PROBLEMS; DIFFERENTIAL-EQUATIONS; BIFURCATION; FLOW;

D O I：

10.1080/00207160903474214

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the approximate analytical solutions of the mathematical model of vibration equation with fractional-order time derivative beta(1 < beta <= 2) for very large membranes are obtained with the help of powerful mathematical tools like homotopy perturbation method and homotopy analysis method. Both the methods perform extremely well in terms of efficiency and simplicity. The validity and applicability of the techniques are shown for obtaining approximate numerical solutions for different particular cases which are presented through figures and tables.

引用

页码：430 / 441

页数：12

共 23 条

[1] NEW IDEAS FOR PROVING CONVERGENCE OF DECOMPOSITION METHODS [J].