Affiliation:
1. College of Mathematics and Physics, Center for Applied Mathematics of Guangxi Minzu University, Nanning 530006, China
Abstract
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.
Funder
National Natural Science Foundation of China
Guangxi Natural Science Foundation
Natural Science Foundation of Guangxi Minzu University
Xiangsi Lake Young Scholars Innovation Team of Guangxi Minzu University
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
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