On the solvability of an initial-boundary value problem for a non-linear fractional diffusion equation

On the solvability of an initial-boundary value problem for a non-linear fractional diffusion equation

In this paper, we consider an initial-boundary value problem for a non-linear fractional diffusion equation on a bounded domain. The fractional derivative is defined in Caputo's sense with respect to the time variable and represents the case of sub-diffusion. Also, the equation involves a secon...

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Bibliographic Details
Main Authors: Özge Arıbaş, İsmet Gölgeleyen, Mustafa Yıldız
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
solvability
non-linear fractional diffusion equation
initial-boundary value problem
eigenfunction expansions
banach fixed point theorem
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023273?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023273?viewType=HTML

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