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A Study on the Damped Free Vibration with Fractional Calculus

Year 2016, Volume: 4 Issue: 4, - , 31.12.2016

Okkes Ozturk

Abstract

Fractional calculus theory includes the definitions of derivatives and integrals with arbitrary order.  This theory is used to solve some classes of differential equations and fractional differential equations. One of these equations is the damped free vibration equation. This equation is a linear homogeneous differential equation with constant coefficients. In this paper, we intend to solve this equation by means of N-fractional calculus method.

A Study on the Damped Free Vibration with Fractional Calculus

Year 2016, Volume: 4 Issue: 4, - , 31.12.2016

Okkes Ozturk

Abstract

Fractional calculus theory includes the definitions of derivatives and integrals with arbitrary order.  This theory is used to solve some classes of differential equations and fractional differential equations. One of these equations is the damped free vibration equation. This equation is a linear homogeneous differential equation with constant coefficients. In this paper, we intend to solve this equation by means of N-fractional calculus method.

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Okkes Ozturk

Publication Date December 31, 2016
Published in Issue Year 2016 Volume: 4 Issue: 4

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APA Ozturk, O. (2016). A Study on the Damped Free Vibration with Fractional Calculus. International Journal of Applied Mathematics Electronics and Computers, 4(4). https://izlik.org/JA98ND79PT
AMA 1.Ozturk O. A Study on the Damped Free Vibration with Fractional Calculus. International Journal of Applied Mathematics Electronics and Computers. 2016;4(4). https://izlik.org/JA98ND79PT
Chicago Ozturk, Okkes. 2016. “A Study on the Damped Free Vibration With Fractional Calculus”. International Journal of Applied Mathematics Electronics and Computers 4 (4). https://izlik.org/JA98ND79PT.
EndNote Ozturk O (March 1, 2016) A Study on the Damped Free Vibration with Fractional Calculus. International Journal of Applied Mathematics Electronics and Computers 4 4
IEEE [1]O. Ozturk, “A Study on the Damped Free Vibration with Fractional Calculus”, International Journal of Applied Mathematics Electronics and Computers, vol. 4, no. 4, Mar. 2016, [Online]. Available: https://izlik.org/JA98ND79PT
ISNAD Ozturk, Okkes. “A Study on the Damped Free Vibration With Fractional Calculus”. International Journal of Applied Mathematics Electronics and Computers 4/4 (March 1, 2016). https://izlik.org/JA98ND79PT.
JAMA 1.Ozturk O. A Study on the Damped Free Vibration with Fractional Calculus. International Journal of Applied Mathematics Electronics and Computers. 2016;4. Available at https://izlik.org/JA98ND79PT.
MLA Ozturk, Okkes. “A Study on the Damped Free Vibration With Fractional Calculus”. International Journal of Applied Mathematics Electronics and Computers, vol. 4, no. 4, Mar. 2016, https://izlik.org/JA98ND79PT.
Vancouver 1.Ozturk O. A Study on the Damped Free Vibration with Fractional Calculus. International Journal of Applied Mathematics Electronics and Computers [Internet]. 2016 Mar. 1;4(4). Available from: https://izlik.org/JA98ND79PT

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