Application of Müntz-Legendre polynomials for solving the Bagley-Torvik equation in a large interval
type: Item
instance of: scholarly article
title: Application of Müntz-Legendre polynomials for solving the Bagley-Torvik equation in a large interval
zbMATH Open document ID: 1412.34040
author: P. Rahimkhani
author: Y. Ordokhani
published in: S\(\vec{\text{e}}\)MA Journal
publication date: 2019-03-28T00:00:00Z
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 7044643
zbMATH Keywords: Müntz-Legendre polynomials
zbMATH Keywords: Bagley-Torvik equation
zbMATH Keywords: collocation method
zbMATH Keywords: operational matrix
zbMATH Keywords: Caputo fractional derivative
MaRDI profile type: Publication
full work available at URL: s40324-018-0148-2
OpenAlex ID: W2789913125
cites work: Solution of fractional differential equations by using differential transform method
cites work: Fractional calculus - A different approach to the analysis of viscoelastically damped structures
cites work: On the Appearance of the Fractional Derivative in the Behavior of Real Materials
cites work: A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations
cites work: New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions
cites work: Muntz Systems and Orthogonal Muntz-Legendre Polynomials
cites work: The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
cites work: Numerical solution of the Bagley-Torvik equation.
cites work: Detailed error analysis for a fractional Adams method
cites work: Solution of nonlinear fractional diffusion-wave equation by triangular functions
cites work: Numerical solution of the Bagley-Torvik equation by Legendre-collocation method
cites work: Numerical methods for multi-term fractional (arbitrary) orders differential equations
cites work: A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
cites work: Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
cites work: Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations
cites work: Q4146094
cites work: Q4737438
cites work: Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation
cites work: Generalized Legendre polynomials
cites work: The Müntz-Legendre tau method for fractional differential equations
cites work: Decomposition method for solving fractional Riccati differential equations
cites work: Analytical approach to linear fractional partial differential equations arising in fluid mechanics
cites work: Numerical methods for nonlinear partial differential equations of fractional order
cites work: On the convergence of spline collocation methods for solving fractional differential equations
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Fractional-order Bernoulli wavelets and their applications
cites work: An efficient approximate method for solving delay fractional optimal control problems
cites work: Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
cites work: Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations
cites work: Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
cites work: Numerical solution of fractional integro-differential equations by collocation method
cites work: A new operational matrix for solving fractional-order differential equations
cites work: An approximate method for numerically solving multi-dimensional delay fractional optimal control problems by Bernstein polynomials
cites work: On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation
cites work: Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
cites work: Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay
cites work: Treatment of dynamic systems with fractional derivatives without evaluating memory-integrals
cites work: Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials
cites work: Numerical solution of the Bagley–Torvik equation by the Bessel collocation method
DOI: 10.1007/S40324-018-0148-2
description: scientific article; zbMATH DE number 7044643