伪抛物方程的分形修正及其广义分形变分原理

Fractals Pub Date : 2024-02-14 DOI:10.1142/s0218348x24500373

Kang-Jia Wang, Shuai Li, Peng Xu, Feng Shi

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摘要

在这项工作中，通过 He 的分形导数导出了一个新的分形伪抛物方程。利用半逆方法（SIM）发展了广义分形变分原理（GFVP），从而揭示了分形空间的能量守恒定律，并为变分法的研究提供了一些新的启示。

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A FRACTAL MODIFICATION OF THE PSEUDO-PARABOLIC EQUATION AND ITS GENERALIZED FRACTAL VARIATIONAL PRINCIPLE

In this work, a new fractal pseudo-parabolic equation is derived by means of He’s fractal derivative. The semi-inverse method (SIM) is employed to develop the generalized fractal variational principle (GFVP), which can reveal the energy conservation law in the fractal space and provide some new insights on the study of the variational method.

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Fractals

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