Fractional-in-time and multifractional-in-space stochastic partial differential equations-Reference-Cited by-同舟云学术

Fractional-in-time and multifractional-in-space stochastic partial differential equations

Published:2016-12-01 Issue:6 Volume:19 Page:1434-1459
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Anh Vo V.¹,Leonenko Nikolai N.²,Ruiz-Medina María D.³

Affiliation:

1. Queensland Univ. of Technology, School of Math. Sciences GPO Box 2434, Brisbane, QLD 4001, Australia

2. Cardiff University, Mathematics Institute Senghennydd Road, Cardiff, CF24 4AG, U.K.

3. University of Granada, Faculty of Sciences C/ Fuente Nueva s/n, 18071 Granada, Spain

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2016-0074/pdf

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