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

Samia Bushnaq (), Shaher Momani () and Yong Zhou
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Samia Bushnaq: Princess Sumaya University for Technology
Shaher Momani: The University of Jordan
Yong Zhou: Xiangtan University

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 1, No 9, 96-105

Abstract: Abstract 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.

Keywords: Fractional differential equation; Reproducing Kernel Hilbert Space Method; Iterative method; Numerical solution (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-012-0207-2

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