Related Experiment Videos
Oscillation of a class of fractional differential equations with damping term
1School of Science, Shandong University of Technology, Zibo, Shandong 255049, China.
Abstract:
We investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with respect to the new variable. Then, using Riccati transformation, inequality, and integration average technique, some new oscillatory criteria for the equations are established. As for applications, oscillation for two certain fractional differential equations with damping term is investigated by the use of the presented results.
Related Concept Videos
Types of Responses of Series RLC Circuits
Types of Damping
Damped Oscillations
Although friction and other non-conservative...
RLC Circuit as a Damped Oscillator
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Second Order systems II
RLC Series Circuits