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

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2012

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Acta Universitaria

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REDALYC : Red de Revistas Científicas de América Latina y el Caribe, España y Portugal

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Red de Revistas Científicas de América Latina y el Caribe, España y Portugal

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Acta Universitaria

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Multidisciplinarias (Ciencias Sociales) dam mass spring per system Caputo derivative

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J. F. Gómez et al., « Mathematical modelling of the mass-spring-damper system - A fractional calculus approach », Acta Universitaria, ID : 10670/1.s1y3n8

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"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 char- acterizes 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."

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