文章基本信息

标题：A new class of travelling wave solutions for local fractional diffusion differential equations
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作者：Ziyue Shi ; Wei Qi ; Jing Fan 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-15
DOI：10.1186/s13662-020-2500-y
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate a 3-D diffusion equation within the scope of the local fractional derivative. For this model, we establish local fractional vector operators and a local fractional Laplace operator defined on Cantor-type cylindrical coordinate and Cantor-type spherical coordinate, respectively. With the help of the spherical symmetry method based on those operators, we obtain exact traveling wave solutions of the 3-D diffusion equation. The results reveal that the proposed schemes are very effective for obtaining nondifferentiable solutions of fractional diffusion problems.
关键词：Time-space fractional diffusion equation ; Local fractional derivative ; Cantor-type cylindrical coordinate ; Traveling wave ;