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Research Papers

On the Bagley–Torvik Equation

[+] Author and Article Information
T. M. Atanackovic

Department of Mechanics,
Faculty of Technical Sciences,
University of Novi Sad,
Novi Sad, Serbia
e-mail: atanackovic@uns.ac.rs

D. Zorica

Mathematical Institute,
Serbian Academy of Sciences and Arts,
Belgrade, Serbia
e-mail: dusan zorica@mi.sanu.ac.rs

1Corresponding author.

Manuscript received June 14, 2012; final manuscript received October 6, 2012; accepted manuscript posted October 25, 2012; published online May 16, 2013. Assoc. Editor: Martin Ostoja-Starzewski.

J. Appl. Mech 80(4), 041013 (May 16, 2013) (4 pages) Paper No: JAM-12-1234; doi: 10.1115/1.4007850 History: Received June 14, 2012; Revised October 06, 2012; Accepted October 25, 2012

We propose a new method for finding solution of Bagley–Torvik equation based on recently derived expansion formula for fractional derivatives. The case of nonlinear equations of Bagley–Torvik type is also discussed.

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References

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Atanackovic, T. M., and Stankovic, B., 2008, “On a Numerical Scheme for Solving Differential Equations of Fractional Order,” Mech. Res. Commun., 35, pp. 429–438. [CrossRef]
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Atanackovic, T. M., Pilipovic, S., and Stankovic, B., 2012, Equations of the Forced Linear Oscillator With Fractional Damping (unsubmitted manuscript).
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Figures

Grahic Jump Location
Fig. 2

Solutions of Eqs. (26) and (27) for two values of c3

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