scientific article; zbMATH DE number 7086972

zbMath1425.34021MaRDI QIDQ5226057

Lucas Lymburner, Mark Naber

Publication date: 30 July 2019

Full work available at URL: http://www.pvamu.edu/aam/wp-content/uploads/sites/182/2019/06/10_R1216_AAM_Naber_MN_100618_Posted_061019.pdf

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zbMATH Keywords

Laplace transformCaputo derivativeBagley-Torvik equationfractionally damped oscillator

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Laplace transform (44A10) Fractional ordinary differential equations (34A08)

Cites Work

• Linear fractionally damped oscillator
• On Stokes' problem for a non-Newtonian fluid
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Analytical solution of general Bagley-Torvik equation
• Numerical solution of the Bagley-Torvik equation.
• Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials

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