Boundary value problems governed by superdiffusion in the right angle: existence and regularity
type: Item
instance of: scholarly article
title: Boundary value problems governed by superdiffusion in the right angle: existence and regularity
zbMATH Open document ID: 1487.35399
DOI: 10.1155/2018/5395124
author: Nataliya V. Vasylyeva
author: Ramzet M. Dzhafarov
published in: Journal of Mathematics
publication date: 2019-02-26T00:00:00Z
review text: Summary: For \(\alpha \in(1,2)\), we analyze a stationary superdiffusion equation in the right angle in the unknown \(u = u(x_1, x_2)\): \(\mathbf{D}_{x_1}^\alpha u + \mathbf{D}_{x_2}^\alpha u = f(x_1, x_2),\) where \(\mathbf{D}_x^\alpha\) is the Caputo fractional derivative. The classical solvability in the weighted fractional Hölder classes of the associated boundary problems is addressed.
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7029798
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5395124
OpenAlex ID: W2903128808
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description: scientific article; zbMATH DE number 7029798