Similarity solution for fractional diffusion equation
type: Item
instance of: scholarly article
title: Similarity solution for fractional diffusion equation
zbMATH Open document ID: 1474.35644
DOI: 10.1155/2014/548126
author: Jun-Sheng Duan
author: Aiping Guo
author: Wenzai Yun
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Fractional diffusion equation in fractal media is an integropartial differential equation parametrized by fractal Hausdorff dimension and anomalous diffusion exponent. In this paper, the similarity solution of the fractional diffusion equation was considered. Through the invariants of the group of scaling transformations we derived the integro-ordinary differential equation for the similarity variable. Then by virtue of Mellin transform, the probability density function \(p(r, t)\), which is just the fundamental solution of the fractional diffusion equation, was expressed in terms of Fox functions.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35C06
zbMATH DE Number: 7022603
Wikidata QID: Q59039390
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/548126
OpenAlex ID: W2106392302
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description: scientific article; zbMATH DE number 7022603