A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations. (24th March 2014)

• Record Type: Journal Article
• Authors: Bushnaq, Samia; Maayah, Banan; Momani, Shaher; Alsaedi, Ahmed
• Other Names: Jafari Hossein Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-03-24
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/103016
• Languages: English
• ISSNs: 1085-3375

Abstract

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.