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Time fractional advection-dispersion equation

Liu, Fawang, Anh, Vo, Turner, Ian, & Zhuang, Pinghui (2003) Time fractional advection-dispersion equation. Journal of Applied Mathematics and Computing, 13(1-2), pp. 233-245.

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Abstract

A time fractional advection-dispersion equation is obtained from the standard advection-dispersion equation by replacing the firstorder derivative in time by a fractional derivative in time of order α(0<α<-1). Using variable transformation, Mellin and Laplace transforms, and properties of H-functions, we derive the complete solution of this time fractional advection-dispersion equation.

Impact and interest:

58 citations in Scopus
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ID Code: 22919
Item Type: Journal Article
Additional URLs:
Keywords: time fractional advection-dispersion equation - Mellin transform - Laplace transform
DOI: 10.1007/BF02936089
ISSN: 1229-9502
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Deposited On: 17 Jun 2009 23:29
Last Modified: 02 Mar 2012 10:42

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