A Two-Dimensional Nonlocal Fractional Parabolic Initial Boundary Value Problem

In this paper, we investigate a two-dimensional singular fractional-order parabolic partial differential equation in the Caputo sense. The partial differential equation is supplemented with Dirichlet and weighted integral boundary conditions. By employing a functional analysis method based on operat...

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Bibliographic Details

Published in:	Axioms
Main Authors:	Said Mesloub, Eman Alhazzani, Hassan Eltayeb Gadain
Format:	Article
Language:	English
Published:	MDPI AG 2024-09-01
Subjects:	caputo fractional derivative well-posedness strong solution fractional Sobolev space nonlocal constraint
Online Access:	https://www.mdpi.com/2075-1680/13/9/646