Work

Correlation between Convolution Kernel Function and Error Function of Bone Fractal Operators

Year: 2023

Type: article

Abstract: This article studies the convolutional kernel function of fractal operators in bone fibers. On the basis of the micro-nano composite structure of compact bone, we abstracted the physical fractal space of bone fibers and derived the fractal operators. The article aims to construct the convolutional analytical expression of bone fractal operators and proves that the error function is the core component of the convolution kernel function in the fractal operators. In other words, bone mechanics is the fractional mechanics controlled by error function.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract7100707

Authors: Zhimo Jian, Gang Peng, Dongan Li, Xiaobin Yu, Yajun Yin

Institutions: Tsinghua University, Chengdu Technological University, Tsinghua Shenzhen International Graduate School

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,002

Funder: National Natural Science Foundation of China