分数阶积分-微分方程的迭代解法  

Iteration Method for Solving Fractional Order Integro-differential Equations

作　　者：王文华[1] 黄得建[2] 

机构地区：[1]长沙理工大学数学与计算科学学院,湖南长沙410076 [2]琼州学院理工学院,海南三亚572022

出　　处：《琼州学院学报》2010年第2期1-3,共3页Journal of Qiongzhou University

摘　　要：介绍了分数阶积分-微分方程和变分迭代法,并利用变分迭代法求解Caputo型分数阶积分-微分方程,从而表明变分迭代法能很好的求解分数阶积分-微分方程.This paper introduces the fractional order integro-differential equations and the varitational iteration method,by means of varitational iteration method the solution of the fractional order integro-differential equations are exactly obtained.The fractional derivative is considered in the Caputo sense.It is observed that the method can be utilized as a powerful and reliable tool for the solution of fractional integro-differential equations.

关 键 词：分数阶积分-微分方程 Caputo微分 变分迭代法 拉格朗日乘子 

分 类 号：O241[理学—计算数学]