Asymptotics for Time-Fractional Venttsel’ Problems in Fractal Domains

Asymptotics for Time-Fractional Venttsel’ Problems in Fractal Domains

In this study, we consider fractional-in-time Venttsel’ problems in fractal domains of the Koch type. Well-posedness and regularity results are given. In view of numerical approximation, we consider the associated approximating pre-fractal problems. Our main result is the convergence of the solution...

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Bibliographic Details
Main Authors: Raffaela Capitanelli, Simone Creo, Maria Rosaria Lancia
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Fractal and Fractional
Subjects:
fractional Caputo time derivative
Venttsel’ problems
fractal domains
asymptotic behavior
varying Hilbert spaces
resolvent families
Online Access:https://www.mdpi.com/2504-3110/7/6/479

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