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A Study on the Damped Free Vibration with Fractional Calculus

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

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

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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Details

Journal Section RV
Authors

Okkes Ozturk

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

Cite

APA Ozturk, O. (2016). A Study on the Damped Free Vibration with Fractional Calculus. International Journal of Applied Mathematics Electronics and Computers, 4(4).
AMA Ozturk O. A Study on the Damped Free Vibration with Fractional Calculus. International Journal of Applied Mathematics Electronics and Computers. March 2016;4(4).
Chicago Ozturk, Okkes. “A Study on the Damped Free Vibration With Fractional Calculus”. International Journal of Applied Mathematics Electronics and Computers 4, no. 4 (March 2016).
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 O. Ozturk, “A Study on the Damped Free Vibration with Fractional Calculus”, International Journal of Applied Mathematics Electronics and Computers, vol. 4, no. 4, 2016.
ISNAD Ozturk, Okkes. “A Study on the Damped Free Vibration With Fractional Calculus”. International Journal of Applied Mathematics Electronics and Computers 4/4 (March 2016).
JAMA Ozturk O. A Study on the Damped Free Vibration with Fractional Calculus. International Journal of Applied Mathematics Electronics and Computers. 2016;4.
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, 2016.
Vancouver Ozturk O. A Study on the Damped Free Vibration with Fractional Calculus. International Journal of Applied Mathematics Electronics and Computers. 2016;4(4).