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Showing 2010 · math.PRShow all
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math.PR2010★ 29 cited
Fractional Cauchy problems on bounded domains: survey of recent results
Erkan Nane
In a fractional Cauchy problem, the usual first order time derivative is replaced by a fractional derivative. This problem was first considered by \citet{nigmatullin}, and \citet{z…
math.PR2010
Transient anomalous sub-diffusion on bounded domains
Erkan Nane, Mark M. Meerschaert, Palaniappan Vellaisamy
This paper develops strong solutions and stochastic solutions for the tempered fractional diffusion equation on bounded domains. First the eigenvalue problem for tempered fractiona…