Noise Spectral of GML Noise and GSR Behaviors for FGLE with Random Mass and Random Frequency

Due to the interest of anomalous diffusion phenomena and their application, our work has widely studied a fractional-order generalized Langevin Equation (FGLE) with a generalized Mittag–Leffler (GML) noise. Significantly, the spectral of GML noise involving three parameters is well addressed. Furthe...

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Veröffentlicht in:Fractal and fractional 2023-02, Vol.7 (2), p.177
Hauptverfasser: Qiu, Lini, He, Guitian, Peng, Yun, Cheng, Hui, Tang, Yujie
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Sprache:eng
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Zusammenfassung:Due to the interest of anomalous diffusion phenomena and their application, our work has widely studied a fractional-order generalized Langevin Equation (FGLE) with a generalized Mittag–Leffler (GML) noise. Significantly, the spectral of GML noise involving three parameters is well addressed. Furthermore, the spectral amplification (SPA) of an FGLE has also been investigated. The generalized stochastic resonance (GSR) phenomenon for FGLE only influenced by GML noise has been found. Furthermore, material GSR for FGLE influenced by two types of noise has been studied. Moreover, it is found that the GSR behaviors of the FGLE could also be induced by the fractional orders of the FGLE.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7020177