New operational matrix via Genocchi polynomials for solving Fredholm-Volterra fractional integro-differential equations
type: Item
instance of: scholarly article
title: New operational matrix via Genocchi polynomials for solving Fredholm-Volterra fractional integro-differential equations
zbMATH Open document ID: 1405.65171
DOI: 10.1155/2017/3821870
author: Jian Rong Loh
author: Chang Phang
author: Abdulnasir Isah
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: The authors describe an approximation method for solving a class of integro-differential equations that contain a Volterra integral operator, a Fredholm integral operator, and a fractional differential operator. Only linear equations are considered. The method is based on formally developing the solution in the form of a series in terms of Genocchi polynomials and then collocating. The paper does not contain a substantial analysis of the method's properties (convergence, stability, suitable choice of collocation points, \dots).
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65L03
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 65L60
zbMATH DE Number: 6962616
zbMATH Keywords: Genocchi polynomials
zbMATH Keywords: Fredholm-Volterra fractional integro-differential equations
zbMATH Keywords: numerical solution
zbMATH Keywords: operational \(T\) matrix
Wikidata QID: Q59142432
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/3821870
OpenAlex ID: W2574267145
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description: scientific article; zbMATH DE number 6962616