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arxiv: 1811.05391 · v1 · pith:T4W6JZFLnew · submitted 2018-11-13 · 🧮 math.PR

Remarks on a fractional-time stochastic equation

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keywords fractionaltimederivativeequationstochasticbehavesbehaviourbounded
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We consider a class of fractional time stochastic equation defined on a bounded domain and show that the presence of the time derivative induces a significant change in the qualitative behaviour of the solutions. This is in sharp contrast with the phenomenon showcased in earlier works. We also show that as one {\it tunes off the fractional} in the fractional time derivative, the solution behaves more and more like its {\it usual} counterpart.

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