A De Giorgi–Nash type theorem for time fractional diffusion equations

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On Time-Fractional Diffusion Equations with Space-Dependent Variable Order (2017, methodology): “Notice that a De Giorgi-Nash Hölder regularity theorem was derived in [3] (see also [36]) for solutions to CO time-fractional equations with fractional diffusion in space.”
Time fractional diffusion equations: solution concepts, regularity, and long-time behavior (2019, methodology): “Another important consequence of Lemma 4.1 is the so-called Lp-norm inequality for operators of the form ∂t(k ∗ ·), which has been established in Vergara and Zacher [43].”
A Parabolic Problem with a Fractional Time Derivative (2015, background): “3) was recently studied by Zacher in [6].”
Representation of solutions and large-time behavior for fully nonlocal diffusion equations (2015, background): “For the regularity theory of nonlocal equations in case α = 1 or β = 2, we refer to [11, 7, 22, 4, 5, 30, 2, 49, 48] and the references therein.”
L-estimates for time fractional parabolic equations with coefficients measurable in time (2018, background): “One can find De GiorgiNash-Moser type Hölder estimates for time fractional parabolic equations in [14], and for parabolic equations with fractional operators in both t and x in [1].”