Annales Mathématiques
Blaise Pascal
no. 1
Stochastic fractional partial differential equations driven by Poisson white noise
[Équations aux dérivées partielles fractionnaires stochastiques dirigées par un bruit poissonnien]
Salah Hajji1
1 Department of Mathematics Faculty of Sciences Semlalia Cadi Ayyad University BP. 2390 Marrakesh, MOROCCO.
Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 1, pp. 43-55.

On étudie une équation aux dérivées partielles stochastiques fractionnaires d’ordre α>1 dirigée par une mesure de Poisson compensée. On montre l’existence et l’unicité de la solution et on étudie la régularité de ses trajectoires.

We study a stochastic fractional partial differential equations of order α>1 driven by a compensated Poisson measure. We prove existence and uniqueness of the solution and we study the regularity of its trajectories.

DOI : 10.5802/ambp.238
Classification : 26A33, 60H15
Keywords: Stochastic partial differential equations; fractional derivative operator; Poisson measure.
Mot clés : EDPS, Dérivation fractionnaire, mesure de Poisson

Salah Hajji 1

1 Department of Mathematics Faculty of Sciences Semlalia Cadi Ayyad University BP. 2390 Marrakesh, MOROCCO. 
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Salah Hajji. Stochastic fractional partial differential equations driven by Poisson white noise. Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 1, pp. 43-55. doi : 10.5802/ambp.238. https://ambp.centre-mersenne.org/articles/10.5802/ambp.238/

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