Abstract and Applied Analysis

A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations

Samia Bushnaq, Banan Maayah, Shaher Momani, and Ahmed Alsaedi

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Abstract

We present a new version of the reproducing kernel Hilbert space method (RKHSM) for the solution of systems of fractional integrodifferential equations. In this approach, the solution is obtained as a convergent series with easily computable components. Several illustrative examples are given to demonstrate the effectiveness of the present method. The method described in this paper is expected to be further employed to solve similar nonlinear problems in fractional calculus.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 103016, 6 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412279787

Digital Object Identifier
doi:10.1155/2014/103016

Mathematical Reviews number (MathSciNet)
MR3191016

Zentralblatt MATH identifier
1273.65194

Citation

Bushnaq, Samia; Maayah, Banan; Momani, Shaher; Alsaedi, Ahmed. A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 103016, 6 pages. doi:10.1155/2014/103016. https://projecteuclid.org/euclid.aaa/1412279787


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