级数逼近法求解一类R-L分数阶积分方程  

Series Approximation Method for Solving a Class of R-L Fractional Integral Equation

作　　者：张盼盼[1] 张倩[1] 韩惠丽[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《烟台大学学报（自然科学与工程版）》2014年第1期9-12,22,共5页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(11261041)

摘　　要：采用泰勒级数将分数阶积分方程转化为线性方程组,利用Cramer法则求得原方程的数值解.并以数值算例验证了该算法的有效性.In this paper, fractional integral equation is transformed into linear equations by the Taylor series. And then, the numerical solution of the original equation is obtained with Cramer rule. Finally, the numerical examples show that this method is effective to approximate the numerical result.

关 键 词：分数阶积分方程 泰勒级数 数值解 

分 类 号：O175.5[理学—数学]