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

作者：Bushnaq, Samia; Momani, Shaher^*; Zhou, Yong

来源：Journal of Optimization Theory and Applications, 2013, 156(1): 96-105.

DOI：10.1007/s10957-012-0207-2

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

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.

• 出版日期2013-1
• 单位湘潭大学