  We prove H\"older regularity results for a class of nonlinear parabolic
problem with fractional-time derivative with nonlocal and Mittag-Leffler
nonsingular kernel. Existence of weak solutions via approximating solutions is
proved. Moreover, the H\"{o}lder continuity of viscosity solutions is obtained.
We get the similar results as those obtained by Allen (see
{\url{https://arxiv.org/abs/1610.10073}})
