On a generalized Laguerre operational matrix of fractional integration
type: Item
instance of: scholarly article
title: On a generalized Laguerre operational matrix of fractional integration
zbMATH Open document ID: 1299.26010
DOI: 10.1155/2013/569286
author: A. H. Bhrawy
author: D. Baleanu
author: L. M. Assas
author: José A. Tenreiro Machado
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: A new operational matrix of fractional integration of arbitrary order for generalized Laguerre polynomials is derived. The fractional integration is described in the Riemann-Liouville sense. This operational matrix is applied together with generalized Laguerre tau method for solving general linear multiterm fractional differential equations (FDEs). The method has the advantage of obtaining the solution in terms of the generalized Laguerre parameter. In addition, only a small dimension of generalized Laguerre operational matrix is needed to obtain a satisfactory result. Illustrative examples reveal that the proposed method is very effective and convenient for linear multiterm FDEs on a semi-infinite interval.
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 6372761
Wikidata QID: Q59026689
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/569286
OpenAlex ID: W2088015265
cites work: Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
cites work: A generalization of Hardy-Hilbert's integral inequality
cites work: Q3161239
cites work: An approximate analytical solution of time-fractional telegraph equation
cites work: Q3006513
cites work: Applications of fractional calculus in physics
cites work: Fractional Dynamics and Control
cites work: Recent history of fractional calculus
cites work: A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials
cites work: Transient chaos in fractional Bloch equations
cites work: Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
cites work: Application of generalized differential transform method to multi-order fractional differential equations
cites work: An existence result for a superlinear fractional differential equation
cites work: On the solution set for a class of sequential fractional differential equations
cites work: Efficient solutions of multidimensional sixth-order boundary value problems using symmetric generalized Jacobi-Galerkin method
cites work: A Jacobi dual-Petrov Galerkin-Jacobi collocation method for solving Korteweg-de Vries equations
cites work: Numerical solutions of odd order linear and nonlinear initial value problems using a shifted Jacobi spectral approximations
cites work: On shifted Jacobi spectral method for high-order multi-point boundary value problems
cites work: Spectral shifted Jacobi tau and collocation methods for solving fifth-order boundary value problems
cites work: A Jacobi dual-Petrov-Galerkin method for solving some odd-order ordinary differential equations
cites work: New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method
cites work: A new operational matrix for solving fractional-order differential equations
cites work: Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
cites work: A quadrature tau method for fractional differential equations with variable coefficients
cites work: A shifted Legendre spectral method for fractional-order multi-point boundary value problems
cites work: Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation
cites work: Q4853647
cites work: Laguerre polynomial approach for solving linear delay difference equations
cites work: A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
cites work: A new Jacobi operational matrix: an application for solving fractional differential equations
cites work: The operational matrix of fractional integration for shifted Chebyshev polynomials
cites work: Chebyshev series approach to system identification, analysis and optimal control
cites work: Legendre series approach to identification and analysis of linear systems
cites work: Explicit formulae for the coefficients of integrated expansions of Laguerre and Hermite polynomials and their integrals
cites work: Q3551117
cites work: Q3264312
description: scientific article; zbMATH DE number 6372761