A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order

被引：0

作者：

Samia Bushnaq

Shaher Momani

Yong Zhou

机构：

[1] Princess Sumaya University for Technology,Department of Science

[2] The University of Jordan,Faculty of Science, Department of Mathematics

[3] Xiangtan University,Faculty of Mathematics and Computational Science

来源：

Journal of Optimization Theory and Applications | 2013年 / 156卷

关键词：

Fractional differential equation; Reproducing Kernel Hilbert Space Method; Iterative method; Numerical solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article, we implement a relatively new analytical technique, the reproducing kernel Hilbert space method (RKHSM), for solving integro-differential equations of fractional order. The solution obtained by using the method takes the form of a convergent series with easily computable components. Two numerical examples are studied to demonstrate the accuracy of the present method. The present work shows the validity and great potential of the reproducing kernel Hilbert space method for solving linear and nonlinear integro-differential equations of fractional order.

引用

页码：96 / 105

页数：9

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