Analytical solution of general Bagley-Torvik equation

DOI10.1155/2015/591715zbMath1394.34019OpenAlexW2174437848WikidataQ59119494 ScholiaQ59119494MaRDI QIDQ1666087

William Labecca, Osvaldo Guimarães, José Roberto Castilho Piqueira

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/591715

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Fractional ordinary differential equations (34A08)

Related Items (2)

Unnamed Item ⋮ Analytical solution of the generalized Bagley-Torvik equation

Cites Work

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• A review of operational matrices and spectral techniques for fractional calculus
• Solution of fractional order system of Bagley-Torvik equation using evolutionary computational intelligence
• General solution of the Bagley-Torvik equation with fractional-order derivative
• The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
• The homotopy analysis method for solving the fornberg-whitham equation and comparison with Adomian's decomposition method
• Numerical solution of the Bagley-Torvik equation.
• Two-point boundary value problems for the generalized Bagley-Torvik fractional differential equation
• A modified generalized Laguerre spectral method for fractional differential equations on the half line
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Fractional differentiability of nowhere differentiable functions and dimensions
• Numerical solution of the Bagley–Torvik equation by the Bessel collocation method

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