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On the sub-diffusion fractional initial value problem with time variable order
DOI:10.1515/anona-2020-0182.png)
Abstract
En 中文
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.
Keywords:
Fractional derivative
variable order
regularity
asymptotic behavior
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