Allouba, Hassan; Nane, Erkan Interacting time-fractional and \(\Delta^{\nu}\) PDEs systems via Brownian-time and inverse-stable-Lévy-time Brownian sheets. (English) Zbl 1286.60070 Stoch. Dyn. 13, No. 1, Paper No. 1250012, 31 p. (2013). Reviewer: Enzo Orsingher (Roma) MSC: 60H30 35C15 35G31 35G46 60G60 60J45 60J35 60J60 60J65 PDFBibTeX XMLCite \textit{H. Allouba} and \textit{E. Nane}, Stoch. Dyn. 13, No. 1, Paper No. 1250012, 31 p. (2013; Zbl 1286.60070) Full Text: DOI arXiv
Allouba, Hassan From Brownian-time Brownian sheet to a fourth order and a Kuramoto-Sivashinsky-variant interacting PDEs systems. (English) Zbl 1246.35068 Stochastic Anal. Appl. 29, No. 6, 933-950 (2011). Reviewer: Dirk Blömker (Augsburg) MSC: 35G50 60H30 35C15 60G60 60J45 60J35 60J60 60J65 35K41 PDFBibTeX XMLCite \textit{H. Allouba}, Stochastic Anal. Appl. 29, No. 6, 933--950 (2011; Zbl 1246.35068) Full Text: DOI arXiv
Allouba, Hassan A Brownian-time excursion into fourth-order PDEs, linearized Kuramoto-Sivashinsky, and BTP-SPDE on \(\mathbb R_{+} \times \mathbb R^{d}\). (English) Zbl 1109.60054 Stoch. Dyn. 6, No. 4, 521-534 (2006). MSC: 60H30 60H15 60J35 60J45 35K30 PDFBibTeX XMLCite \textit{H. Allouba}, Stoch. Dyn. 6, No. 4, 521--534 (2006; Zbl 1109.60054) Full Text: DOI
Allouba, Hassan Brownian-time processes: The PDE connection II and the corresponding Feynman-Kac formula. (English) Zbl 1006.60063 Trans. Am. Math. Soc. 354, No. 11, 4627-4637 (2002). MSC: 60H30 60J45 60J35 60J60 60J65 PDFBibTeX XMLCite \textit{H. Allouba}, Trans. Am. Math. Soc. 354, No. 11, 4627--4637 (2002; Zbl 1006.60063) Full Text: DOI arXiv