A new class of travelling wave solutions for local fractional diffusion differential equations

Autor:	Ziyue Shi, Wei Qi, Jing Fan
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Time-space fractional diffusion equation Local fractional derivative Cantor-type cylindrical coordinate Traveling wave Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-15 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-2500-y
Popis:	Abstract 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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/93da8b5395154564b13c7fc97c09329f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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