General solution of the Bagley-Torvik equation with fractional-order derivative
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Publication:718236
DOI10.1016/j.cnsns.2009.05.069zbMath1221.34020OpenAlexW2023477691MaRDI QIDQ718236
Publication date: 23 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.05.069
general solutioncharacteristic rootfractional-order derivativeinitializing constantsvibration equation
Integro-ordinary differential equations (45J05) Explicit solutions, first integrals of ordinary differential equations (34A05) Fractional ordinary differential equations (34A08)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method
- Exact analytic solutions for the unsteady flow of a non-Newtonian fluid between two cylinders with fractional derivative model
- A suggestion of fractional-order controller for flexible spacecraft attitude control
- Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- An Eigenvector Expansion Method for the Solution of Motion Containing Fractional Derivatives
- Advances in Fractional Calculus
- Linear Differential Equations of Fractional Order
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