Similarity Solution for Fractional Diffusion Equation
Joint Authors
Duan, Jun-Sheng
Guo, Ai-Ping
Yun, Wen-Zai
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-12
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Duan, Jun-Sheng& Guo, Ai-Ping& Yun, Wen-Zai. 2014. Similarity Solution for Fractional Diffusion Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014213
Modern Language Association (MLA)
Duan, Jun-Sheng…[et al.]. Similarity Solution for Fractional Diffusion Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1014213
American Medical Association (AMA)
Duan, Jun-Sheng& Guo, Ai-Ping& Yun, Wen-Zai. Similarity Solution for Fractional Diffusion Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014213
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014213