27 citations · 38 across the 6 of their papers we have counts for
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math.AP2018★ 3 cited
Stochastic representation of solution to nonlocal-in-time diffusion
Qiang Du, Lorenzo Toniazzi, Zhi Zhou
The aim of this paper is to give a stochastic representation for the solution to a natural extension of the Caputo-type evolution equation. The nonlocal-in-time operator is defined…
math.AP2018★ 5 cited
Stochastic solutions for space-time fractional evolution equations on bounded domain
Lorenzo Toniazzi
Space-time fractional evolution equations are a powerful tool to model diffusion displaying space-time heterogeneity. We prove existence, uniqueness and stochastic representation o…