Spectral regularization method for a Cauchy problem of the time fractional advection-dispersion equation

Authors:
G. H. Zheng;T. Wei
Affiliations:
School of Mathematics and Statistics, Lanzhou University, PR China;School of Mathematics and Statistics, Lanzhou University, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

In this paper, a Cauchy problem for the time fractional advection-dispersion equation (TFADE) is investigated. Such a problem is obtained from the classical advection-dispersion equation by replacing the first-order time derivative by the Caputo fractional derivative of order @a(0