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

طريقة إعادة إنتاج نواة هيلبرت سبيس لحل أنظمة المعادلات التكاملية التفاضلية الجزئية

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:Hindawi LimitedJournal:Abstract and Applied Analysis, volume 2,014, pages 1-6 (issn: 1085-3375, eissn: 1687-0409,

Authors: Samia Bushnaq; Banan Maayah; Shaher Momani; Ahmed Alsaedi;

doi: 10.1155/2014/103016 , 10.60692/68f8x-8q907 , 10.60692/rfjs4-qyf97

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

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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.

Related Organizations

King Abdulaziz University
Saudi Arabia
Princess Sumaya University for Technology
Jordan
University of Jordan
Jordan

Keywords

Convergent series, Fractional Differential Equations, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, QA1-939, FOS: Mathematics, Series (stratigraphy), Biology, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Applied Mathematics, Physics, Hilbert space, Fractional calculus, Pure mathematics, Paleontology, Power series, Applied mathematics, Computer science, Fractional Derivatives, Operating system, Modeling and Simulation, Reproducing kernel Hilbert space, Physical Sciences, Kernel (algebra), Nonlinear system, Fractional Calculus, Iterative Methods, Mathematics

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