Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
复制标题
DOI：
10.1016/j.camwa.2010.10.004
复制
发表时间：
2011-04
期刊：
影响因子：
--
通讯作者：
Y. Nawaz
中科院分区：
文献类型：
--
作者：
Y. Nawaz
本文用变分迭代法和同伦摄动法求解了四阶分数阶积分微分方程的线性和非线性边值问题。分数阶导数在Caputo意义下描述。这两个问题的解都是用易于计算的无穷收敛级数导出的，然后用图解法表明这两种方法是求解四阶分数阶积分微分方程线性和非线性边值问题的最有效和最方便的方法。
In this article, linear and nonlinear boundary value problems for fourth-order fractional integro-differential equations are solved by variational iteration method and homotopy perturbation method. The fractional derivatives are described in the Caputo sense. The solutions of both problems are derived by infinite convergent series which are easily computable and then graphical representation shows that both methods are most effective and convenient one to solve linear and nonlinear boundary value problems for fourth-order fractional integro-differential equations.