Reproducing kernel method for solving nonlinear fractional Fredholm integrodifferential equation
type: Item
instance of: scholarly article
title: Reproducing kernel method for solving nonlinear fractional Fredholm integrodifferential equation
zbMATH Open document ID: 1407.65326
DOI: 10.1155/2018/2304858
author: Bothayna S. Kashkari
author: Muhammed Syam
published in: Complexity
publication date: 2019-02-19T00:00:00Z
review text: Summary: This article is devoted to both theoretical and numerical studies of nonlinear fractional Fredholm integrodifferential equations. In this paper, we implement the reproducing kernel method (RKM) to approximate the solution of nonlinear fractional Fredholm integrodifferential equations. Numerical results demonstrate the accuracy of the present algorithm. In addition, we prove the existence of the solution of the nonlinear fractional Fredholm integrodifferential equation. Uniformly convergence of the approximate solution produced by the RKM to the exact solution is proven.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 7025142
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2304858
OpenAlex ID: W2903382932
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Wikidata QID: Q128892795
description: scientific article; zbMATH DE number 7025142