Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy

Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy

Time-fractional partial differential equations are nonlocal-in-time and show an innate memory effect. Previously, examples like the time-fractional Cahn-Hilliard and Fokker-Planck equations have been studied. In this work, we propose a general framework of time-fractional gradient flows and we provi...

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Bibliographic Details
Main Authors: Fritz Marvin, Khristenko Ustim, Wohlmuth Barbara
Format: Article
Language:English
Published: De Gruyter 2022-10-01
Series:Advances in Nonlinear Analysis
Subjects:
energy dissipation
time-fractional gradient flows
history and augmented energy
well-posedness of variational form
memory effect
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35r11
Online Access:https://doi.org/10.1515/anona-2022-0262

Internet

https://doi.org/10.1515/anona-2022-0262

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