arXiv subjects

Min Jung

Publications and source records attributed to Min Jung.

2 recordsLinked to original sources

arXiv2013

On the fractional damped oscillators and fractional forced oscillators

In this paper, we use the fractional calculus to discuss the fractional mechanics, where the time derivative is replaced with the fractional derivative of order $ν$. We deal with the motion of a body in a resisting medium where the retarding force is assumed to be proportional to the fractional velocity which is obtained by acting the fractional derivative on the position. The fractional harmonic oscillator problem, fractional damped oscillator problem and fractional forced oscillator problem are also studied.

physics.gen-ph↗

arXiv2012

Study on the mechanical system related to Hahn's discrete time derivative

In this paper, we use the quantum variational calculus related to Hahn's discrete time derivative construct the deformed version for the classical mechanics related to the Hahn's calculus. We deal with the deformed dynamics such as the motion with constant velocity and the motion with constant acceleration. Moreover, we extend our work to the motion of a body in a resisting medium by using the new identity for an infinite ($q,w$)-series, where the retarding force is assumed to be proportional to the deformed average velocity.

math-ph↗