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Bibliographic Details
Main Authors: Kian, Yavar, Slodička, Marián, Soccorsi, Éric, Van Bockstal, Karel
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.03482
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Table of Contents:
  • This contribution considers the time-fractional subdiffusion with a time-dependent variable-order fractional operator of order $β(t)$. It is assumed that $β(t)$ is a piecewise constant function with a finite number of jumps. A proof technique based on the Fourier method and results from constant-order fractional subdiffusion equations has been designed. This novel approach results in the well-posedness of the problem.