| Literature DB >> 24639592 |
Mark M Meerschaert1, Erkan Nane2, P Vellaisamy3.
Abstract
This paper develops strong solutions and stochastic solutions for the tempered fractional diffusion equation on bounded domains. First the eigenvalue problem for tempered fractional derivatives is solved. Then a separation of variables and eigenfunction expansions in time and space are used to write strong solutions. Finally, stochastic solutions are written in terms of an inverse subordinator.Entities:
Keywords: Cauchy problem; Fractional diffusion; boundary value problem; tempered stable
Year: 2012 PMID： 24639592 PMCID： PMC3955373 DOI： 10.1090/s0002-9939-2012-11362-0
Source DB: PubMed Journal: Proc Am Math Soc ISSN： 0002-9939 Impact factor: 1.016