Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives
Abstract
:1. Introduction
2. Generalized Fractional Derivative Operators
3. Fractional Mass-Spring-Damper Systems
3.1. Caputo Generalized Fractional Derivative
3.1.1. Absence of Mass
3.1.2. Absence of the Spring Coefficient
3.1.3. In the Presence of Mass and Spring Coefficients
3.2. Left Generalized Fractional Derivative
3.2.1. Absence of Mass
3.2.2. Absence of the Spring Coefficient
4. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Sene, N.; Gómez Aguilar, J.F. Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives. Fractal Fract. 2019, 3, 39. https://doi.org/10.3390/fractalfract3030039
Sene N, Gómez Aguilar JF. Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives. Fractal and Fractional. 2019; 3(3):39. https://doi.org/10.3390/fractalfract3030039
Chicago/Turabian StyleSene, Ndolane, and José Francisco Gómez Aguilar. 2019. "Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives" Fractal and Fractional 3, no. 3: 39. https://doi.org/10.3390/fractalfract3030039