A novel computational approach to the local fractional Lonngren wave equation in fractal media

被引：21

作者：

Wang, Kang-Le ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Peoples R China

来源：

MATHEMATICAL SCIENCES | 2024年 / 18卷 / 03期

关键词：

Fractal dimension; Local fractional calculus; Fractal travelling wave solution; Mittag-Leffler function; Lonngren wave equation; MODEL;

D O I：

10.1007/s40096-023-00509-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to investigate the local fractional Lonngren wave equation, which is a generalization of Lonngren wave equation in fractal media. Firstly, an extremely effective approach is presented to obtain the fractal travelling wave solution of the local fractional Lonngren wave equation; secondly, the characteristics of fractal travelling wave solution are illustrated by some 3D graphs; finally, the comparative results of the local fractional Lonngren wave equation and the classical Lonngren wave equation are discussed. This proposed new method is simple and efficient and provides a novel idea for the study of fractal-fractional wave models in fractal media.

引用

页码：413 / 418

页数：6

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