Space-time fractional diffusion on bounded domains

Abstract

Fractional diffusion equations replace the integer-order derivatives in space and time by their fractional-order analogues. They are used in physics to model anomalous diffusion. This paper develops strong solutions of space-time fractional diffusion equations on bounded domains, as well as probabilistic representations of these solutions, which are useful for particle tracking codes.

15 pages, submitted for publication

References in corpus (1)

• Distributed-order fractional Cauchy problems on bounded domains

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