On the sub–diffusion fractional initial value problem with time variable order
oleh: Cuesta Eduardo, Kirane Mokhtar, Alsaedi Ahmed, Ahmad Bashir
| Format: | Article |
|---|---|
| Diterbitkan: | De Gruyter 2021-06-01 |
Deskripsi
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.