Space-time fractional derivative operators

Baeumer, Boris; Meerschaert, Mark; Mortensen, Jeff

doi:10.1090/S0002-9939-05-07949-9

Space-time fractional derivative operators
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by Boris Baeumer, Mark M. Meerschaert and Jeff Mortensen PDF

Proc. Amer. Math. Soc. 133 (2005), 2273-2282 Request permission

Abstract:

Evolution equations for anomalous diffusion employ fractional derivatives in space and time. Linkage between the space-time variables leads to a new type of fractional derivative operator. This paper develops the mathematical foundations of those operators.

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