Solution of Fractional Harmonic Oscillator in a Fractional B-poly Basis

2014 ◽  
Vol 2 (2) ◽  
pp. 8 ◽  
Author(s):  
Muhammad I. Bhatti
Keyword(s):  
Harmonic Oscillator ◽  
Fractional Harmonic Oscillator

The resonance behavior in the fractional harmonic oscillator with time delay and fluctuating mass

2020 ◽  
Vol 545 ◽  
pp. 123731
Author(s):  
Yan Tian ◽  
Tao Yu ◽  
Gui-Tian He ◽  
Lin-Feng Zhong ◽  
H. Eugene Stanley
Keyword(s):  
Time Delay ◽  
Harmonic Oscillator ◽  
Resonance Behavior ◽  
Fractional Harmonic Oscillator

Investigation of fractional harmonic oscillator canonical ensemble in the q-deformed super-statistic

2019 ◽  
Vol 16 (11) ◽  
pp. 1950163
Author(s):  
Hadi Sobhani ◽  
Hassan Hassanabadi ◽  
Won Sang Chung
Keyword(s):  
Harmonic Oscillator ◽  
Canonical Ensemble ◽  
The Other ◽  
Partition Functions ◽  
Thermodynamical Properties ◽  
Fractional Harmonic Oscillator ◽  
Fractional Parameter

In this paper, a canonical ensemble of fractional harmonic oscillator has been considered. Then by using the [Formula: see text]-deformed formalism of super-statistic, thermodynamical properties of such an ensemble have been evaluated. The important point in this paper is that because of the existence of the fractional parameter, the partition functions, consequently and the other thermodynamical properties, can be analytically derived. Therefore, these quantities have been evaluated numerically. These quantities have been plotted in terms of temperature when the deformation and the fractional parameter vary. Effects of these parameters on the thermodynamical properties of the canonical ensemble have been discussed in detail.

scholarly journals The resonant behavior of fractional harmonic oscillator with fluctuating mass

2013 ◽  
Vol 62 (21) ◽  
pp. 210503
Author(s):  
Yu Tao ◽  
Luo Mao-Kang ◽  
Hua Yun
Keyword(s):  
Harmonic Oscillator ◽  
Resonant Behavior ◽  
Fractional Harmonic Oscillator

Stochastic resonance in a fractional harmonic oscillator subject to random mass and signal-modulated noise

2016 ◽  
Vol 459 ◽  
pp. 86-91 ◽  
Author(s):  
Feng Guo ◽  
Cheng-Yin Zhu ◽  
Xiao-Feng Cheng ◽  
Heng Li
Keyword(s):  
Harmonic Oscillator ◽  
Stochastic Resonance ◽  
Random Mass ◽  
Fractional Harmonic Oscillator
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