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On the sub–diffusion fractional initial value problem with time variable order
Journal article   Peer reviewed

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

Eduardo Cuesta, Mokhtar Kirane, Ahmed Alsaedi and Bashir Ahmad
Advances in nonlinear analysis, Vol.10(1), pp.1301-1315
04/06/2021
DOI: https://doi.org/10.1515/anona-2020-0182

Abstract

34A08 34D05 asymptotic behavior Fractional derivative regularity 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 asymptotic behavior.

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