On the sub–diffusion fractional initial value problem with time variable order

We consider a fractional derivative with order varying in time. Then, we derive for it a Leibniz' inequality and an integration by parts formula. We also study an initial value problem with our time variable order fractional derivative and present a regularity result for it, and a study on the...

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Bibliographic Details
Main Authors: Cuesta Eduardo, Kirane Mokhtar, Alsaedi Ahmed, Ahmad Bashir
Format: Article
Language:English
Published: De Gruyter 2021-06-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0182