TY - JOUR AU - Cuesta Montero, Eduardo AU - Kirane, Mokhtar AU - Alsaedi, Ahmed AU - Ahmad, Bashir PY - 2021 UR - https://uvadoc.uva.es/handle/10324/64355 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... LA - eng PB - De Gruyter KW - Fractional derivative; variable order; regularity; asymptotic behavior TI - on the sub-diffusion fractional initial value problem with time variable order DO - https://doi.org/10.1515/anona-2020-0182 ER -