Fractal Operators and Fractional Dynamics with 1/2 Order in Biological Systems

Yajun Yin; Jianqiao Guo; Gang Peng; Xiaobin Yu; Yiya Kong

doi:10.3390/fractalfract6070378

Fractal Operators and Fractional Dynamics with 1/2 Order in Biological Systems

Yajun Yin^*, Jianqiao Guo, Gang Peng, Xiaobin Yu, Yiya Kong

^*Corresponding author for this work

School of Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

This paper reports the new advances in biological fractal dynamics. The following contents are included: (1) physical (or functional) fractal spaces abstracted from biological materials, biological structures and biological motions; (2) fractal operators on fractal spaces; (3) 1/2-order fractional dynamics controlled by fractal operators; and (4) the origin of 1/2-order. Based on the new progress, we can make a judgment that all the two-bifurcation physical functional fractal motions in the living body can be attributed to the fractional dynamics with 1/2-order.

Original language	English
Article number	378
Journal	Fractal and Fractional
Volume	6
Issue number	7
DOIs	https://doi.org/10.3390/fractalfract6070378
Publication status	Published - Jul 2022

Keywords

1/2-order
fractal operators
fractional order dynamics
physical (functional) fractal space

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10.3390/fractalfract6070378

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title = "Fractal Operators and Fractional Dynamics with 1/2 Order in Biological Systems",

abstract = "This paper reports the new advances in biological fractal dynamics. The following contents are included: (1) physical (or functional) fractal spaces abstracted from biological materials, biological structures and biological motions; (2) fractal operators on fractal spaces; (3) 1/2-order fractional dynamics controlled by fractal operators; and (4) the origin of 1/2-order. Based on the new progress, we can make a judgment that all the two-bifurcation physical functional fractal motions in the living body can be attributed to the fractional dynamics with 1/2-order.",

keywords = "1/2-order, fractal operators, fractional order dynamics, physical (functional) fractal space",

author = "Yajun Yin and Jianqiao Guo and Gang Peng and Xiaobin Yu and Yiya Kong",

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T1 - Fractal Operators and Fractional Dynamics with 1/2 Order in Biological Systems

AU - Yin, Yajun

AU - Guo, Jianqiao

AU - Peng, Gang

AU - Yu, Xiaobin

AU - Kong, Yiya

PY - 2022/7

Y1 - 2022/7

N2 - This paper reports the new advances in biological fractal dynamics. The following contents are included: (1) physical (or functional) fractal spaces abstracted from biological materials, biological structures and biological motions; (2) fractal operators on fractal spaces; (3) 1/2-order fractional dynamics controlled by fractal operators; and (4) the origin of 1/2-order. Based on the new progress, we can make a judgment that all the two-bifurcation physical functional fractal motions in the living body can be attributed to the fractional dynamics with 1/2-order.

AB - This paper reports the new advances in biological fractal dynamics. The following contents are included: (1) physical (or functional) fractal spaces abstracted from biological materials, biological structures and biological motions; (2) fractal operators on fractal spaces; (3) 1/2-order fractional dynamics controlled by fractal operators; and (4) the origin of 1/2-order. Based on the new progress, we can make a judgment that all the two-bifurcation physical functional fractal motions in the living body can be attributed to the fractional dynamics with 1/2-order.

KW - 1/2-order

KW - fractal operators

KW - fractional order dynamics

KW - physical (functional) fractal space

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ER -

Fractal Operators and Fractional Dynamics with 1/2 Order in Biological Systems

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Keywords

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