Fractional vector calculus for fractional advection–dispersion

نویسندگان

  • Mark M. Meerschaert
  • Jeff Mortensen
  • Stephen W. Wheatcraft
چکیده

We develop the basic tools of fractional vector calculus including a fractional derivative version of the gradient, divergence, and curl, and a fractional divergence theorem and Stokes theorem. These basic tools are then applied to provide a physical explanation for the fractional advection–dispersion equation for flow in heterogeneous porous media. r 2005 Elsevier B.V. All rights reserved.

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تاریخ انتشار 2006