Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order

Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order

Abstract In this contribution, we investigate an initial-boundary value problem for a fractional diffusion equation with Caputo fractional derivative of space-dependent variable order where the coefficients are dependent on spatial and time variables. We consider a bounded Lipschitz domain and a hom...

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Bibliographic Details
Main Author: Karel Van Bockstal
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
Series:Advances in Difference Equations
Subjects:
Time-fractional diffusion equation
Anomalous diffusion
Non-autonomous
Time discretization
Existence
Uniqueness
Online Access:https://doi.org/10.1186/s13662-021-03468-9

Internet

https://doi.org/10.1186/s13662-021-03468-9

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