RT info:eu-repo/semantics/article T1 on the sub-diffusion fractional initial value problem with time variable order A1 Cuesta Montero, Eduardo A1 Kirane, Mokhtar A1 Alsaedi, Ahmed A1 Ahmad, Bashir K1 Fractional derivative; variable order; regularity; asymptotic behavior AB 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. PB De Gruyter YR 2021 FD 2021-06-04 LK https://uvadoc.uva.es/handle/10324/64355 UL https://uvadoc.uva.es/handle/10324/64355 LA eng NO Advances in Nonlinear Analysis, june 2021,vol. 10, n. 1, 2021, p. 1301-1315. NO Producción Científica DS UVaDOC RD 17-jul-2024