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Fractional-In-Time and Multifractional-In-Space Stochastic Partial Differential Equations by Vo V. Anh; Nikolai N. Leonenko; María D. Ruiz-Medina is a Mathematics article available to read on EtoBox.

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This paper derives the weak-sense Gaussian solution to a family of fractional-in-time and multifractional-in-space stochastic partial differential equations, driven by fractional-integrated-in-time spatiotemporal white noise. Some fundamental results on the theory of pseudodifferential operators of variable order, and on the Mittag-Leffler function are applied to obtain the temporal, spatial and spatiotemporal Hölder continuity, in the mean-square sense, of the derived solution.

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Author

Vo V. Anh; Nikolai N. Leonenko; María D. Ruiz-Medina

Publisher

Springer Science and Business Media LLC

Published

2016

Language

EN

Field

Mathematics (Physical Sciences)