TY - JOUR
TI - A novel methodology for establishing a fractal-fractional oscillator and its application to the aggregation of grass carp's roes
AU - Niu Jing-Yan
JN - Thermal Science
PY - 2025
VL - 29
IS - 3
SP - 2077
EP - 2084
PT - Article
AB - This article examines the aggregation model of grass carp roe. This model is  analogous to the Toda-like oscillator model, as any oscillation caused by  perturbations will decay immediately. In general, the water environment on  which fish depend for their survival does not need to be considered as a  porous medium. However, in certain special water environments, the  properties of the water may exhibit porous characteristics due to the  presence of solid particles. In such instances, the consideration of porous  medium characteristics of the water may assist in the more accurate  description and comprehension of the aggregation mod-el of grass carp. The  appropriate methodology is employed in this study in the traditional case.  An alternative fractal system is proposed as a means of establishing the  roe aggregation system in fractal space. This system is based on a Toda-like  fractal-fractional system and has been demonstrated to exhibit analogous  properties to integer order systems.