Mathematical modelling of the mass-spring-damper system - A fractional calculus approach

Añadido por asistente1@acuedi.org - May 26, 2013 - Ciencias e ingeniería

Descripción

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.


Gómez Aguilar, J. et al. (2012). Mathematical modelling of the mass-spring-damper system - A fractional calculus approach. Acta Universitaria, 22 (5), pp. 5-11.

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