Some properties of the solution to fractional heat equation with a fractional Brownian noise
Abstract In this paper, we consider the stochastic heat equation of the form ∂ u ∂ t = Δ α u + ∂ 2 B ∂ t ∂ x , $$\frac{\partial u}{\partial t}=\Delta_{\alpha}u+\frac{\partial ^{2}B}{\partial t\,\partial x}, $$ where ∂ 2 B ∂ t ∂ x $\frac{\partial^{2}B}{\partial t\,\partial x}$ is a fractional Brownia...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-04-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1151-0 |