Brownian-time Brownian motion SIEs on $\mathbb{R}_{+}$ × $\mathbb{R}^d$: Ultra regular direct and lattice-limits solutions and fourth order SPDEs links

Author:

Allouba Hassan,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference42 articles.

1. Interacting time-fractional and $\Delta^\nu$ PDEs systems via Brownian-time and Inverse-stable-Lévy-time Brownian sheets,;H. Allouba;29 pages. Stoch. Dyn.

2. From Brownian-time Brownian sheet to a fourth order and a Kuramoto-Sivashinsky-variant interacting PDEs systems,;H. Allouba;Stoch. Anal. Appl.,2011

3. A Brownian-time excursion into fourth-order PDEs, linearized Kuramoto-Sivashinsky, and BTP-SPDEs on $\mathbb R_{+}$ × $\mathbb R^d$,;H. Allouba;Stoch. Dyn.,2006

4. A linearized Kuramoto-Sivashinsky PDE via an imaginary-Brownian-time-Brownian-angle process,;H. Allouba;C. R. Math. Acad. Sci. Paris,2003

5. L-Kuramoto-Sivashinsky SPDEs on $\mathbb R_{+}$ × $\mathbb R^d$ via the imaginary-Brownian-time-Brownian-angle representation,;H. Allouba;In final preparation.

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