用分数阶导数确定Bagley - Torvik方程解析解的方法

2022 IEEE 16th International Symposium on Applied Computational Intelligence and Informatics (SACI) Pub Date : 2022-05-25 DOI:10.1109/SACI55618.2022.9919569

M. Paşca, B. Cǎruntu, Adrian C. Albu

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引用次数: 0

摘要

本文提出了分段多项式最小二乘法求解Bagley - Torvik分数阶微分方程近似解析解的方法。该方程模拟了不同聚合物的变形抗力特性，在工程的各个领域都具有适用性。重点介绍了PWPLSM方法的工作原理及其精度。

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A method for determining the analytical solution for Bagley Torvik equations with fractional derivatives

This paper presents the method called Piecewise Polynomial Least Squares Method (PWPLSM) for determining the approximate analytical solution for Bagley Torvik fractional differential equation. The equation models the deformation resistance characteristics of different polymers, having applicability in various branches of engineering. The paper focuses on the operation of the PWPLSM method and its accuracy.

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2022 IEEE 16th International Symposium on Applied Computational Intelligence and Informatics (SACI)

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