### Abstract

Original language | English |
---|---|

Number of pages | 15 |

Journal | Proceedings of the American Mathematical Society |

Early online date | 5 Apr 2019 |

DOIs | |

Publication status | E-pub ahead of print - 5 Apr 2019 |

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### Keywords

- fractional stochastic equation
- space-time white noise
- space colored noise

### Cite this

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**Remarks on a fractional-time stochastic equation.** / Foondun, Mohammud.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Remarks on a fractional-time stochastic equation

AU - Foondun, Mohammud

PY - 2019/4/5

Y1 - 2019/4/5

N2 - 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 tunes off the fractional in the fractional time derivative, the solution behaves more and more like its usual counterpart.

AB - 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 tunes off the fractional in the fractional time derivative, the solution behaves more and more like its usual counterpart.

KW - fractional stochastic equation

KW - space-time white noise

KW - space colored noise

UR - http://www.ams.org/publications/journals/journalsframework/proc

U2 - 10.1090/proc/14644

DO - 10.1090/proc/14644

M3 - Article

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

ER -