arXiv:2210.04116 Abstract | arXiv Analytics

arXiv:2210.04116 [math.AP]Abstract References Reviews Resources

Distributed-order space-time fractional diffusions in bounded domains

Published 2022-10-08Version 1

We provide explicit classical solutions and stochastic analogues for distributed-order space-time fractional diffusion equations on bounded domains with zero exterior boundary conditions. We also show that our results still hold when the mixing measure in the distributed-order time-derivative is singular.

Categories: math.AP, math.PR

Keywords: bounded domains, distributed-order space-time fractional diffusion equations, zero exterior boundary conditions, explicit classical solutions, stochastic analogues

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