Artículos de Investigación
Mathematical modelling of the mass-spring-damper system - A fractional calculus approach
Published 2012-08-15
Keywords
- Cálculo Fraccionario,
- sistema masa-re¬sorte-amortiguador,
- derivada de Caputo,
- componentes fraccionarias,
How to Cite
Gómez Aguilar, J. F., Rosales García, J., Bernal Alvarado, J., & Guía, M. (2012). Mathematical modelling of the mass-spring-damper system - A fractional calculus approach. Acta Universitaria, 22(5), 5–11. https://doi.org/10.15174/au.2012.328
Abstract
In this paper the fractional differential equation for the mass-spring-damper system in terms of the fractional time derivatives of the Caputo type is considered. In order to be consistent with the physical equation, a new parameter is introduced. This parameter characterizes the existence of fractional components in the system. A relation between the fractional order time derivative and the new parameter is found. Different particular cases are analyzed