| 级数逼近法求解一类R-L分数阶积分方程 |
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| 引用本文： | 张盼盼,张 倩,韩惠丽. 级数逼近法求解一类R-L分数阶积分方程[J]. 烟台大学学报(自然科学与工程版), 2014, 0(1): 9-12,22 |
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| 作者姓名： | 张盼盼 张 倩 韩惠丽 |
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| 作者单位： | 宁夏大学数学计算机学院,宁夏银川750021 |
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| 基金项目： | 国家自然科学基金资助项目（11261041）. |
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| 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.
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| 关 键 词： | 分数阶积分方程 泰勒级数 数值解 |
Series Approximation Method for Solving a Class of R-L Fractional Integral Equation |
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| ZHANG Pan-pan,ZHANG Qian,HAN Hui-li. Series Approximation Method for Solving a Class of R-L Fractional Integral Equation[J]. Journal of Yantai University(Natural Science and Engineering edirion), 2014, 0(1): 9-12,22 |
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| Authors: | ZHANG Pan-pan ZHANG Qian HAN Hui-li |
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| Affiliation: | (School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China) |
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| Abstract: | 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. |
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| Keywords: | fractional integral equations Taylor series numerical solution |
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