Published January 1, 2015 | Version v1
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FRACTIONAL DIFFUSION ON BOUNDED DOMAINS

  • 1. Sandia Natl Labs, Optimizat & Uncertainty Quantificat, Albuquerque, NM 87123 USA
  • 2. Florida State Univ, Dept Comp Sci, Tallahassee, FL 32309 USA
  • 3. Sandia Natl Labs, Computat Math, Albuquerque, NM 87123 USA
  • 4. Michigan State Univ, Dept Stat & Probabil, E Lansing, MI 48824 USA

Description

The mathematically correct specification of a fractional differential equation on a bounded domain requires specification of appropriate boundary conditions, or their fractional analogue. This paper discusses the application of nonlocal diffusion theory to specify well-posed fractional diffusion equations on bounded domains.

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