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Remarks on a fractional-time stochastic equation

Probability 2018-11-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1811.05391,
  title  = {Remarks on a fractional-time stochastic equation},
  author = {Mohammud Foondun},
  journal= {arXiv preprint arXiv:1811.05391},
  year   = {2018}
}
R2 v1 2026-06-23T05:14:13.057Z